New NCERT · Ganita Prakash · Chapter 7

Fractions Class 6 Solutions

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Solution sheet 1

Page no. 152 · Figure it out

NCERT Class 6 Maths Chapter 7, question 1 — Source question

1. Three guavas together weigh 1 kg. If they are roughly of the same size, each guava will roughly weigh ____kg.

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1/3

Source worked solution for Class 6 Chapter 7, question 1, part 1 — Source worked answer · part 1

Page no. 152 · Figure it out

NCERT Class 6 Maths Chapter 7, question 2 — Source question

2. A wholesale merchant packed 1 kg of rice in four packets of equal weight. The weight of each packet is_______ kg.

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1/4

Source worked solution for Class 6 Chapter 7, question 2, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 3 — Source question

3. Four friends ordered 3 glasses of sugarcane juice and shared it equally among themselves. Each one drank ____ glass of sugarcane juice

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Source worked solution for Class 6 Chapter 7, question 3, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 4 — Source question

4. The big fish weighs the fraction shown above kg. The small one weighs the fraction shown above kg. Together they weigh ____ kg.

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3/4

Source worked solution for Class 6 Chapter 7, question 4, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 5 — Source question

5. Arrange these fraction words in order of size from the smallest to the biggest in the empty box below: One and a half, three quarters, one and a quarter, half, quarter, two and a half.

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Source worked solution for Class 6 Chapter 7, question 5, part 1 — Source worked answer · part 1

Section 7.2 · Page No. 154

NCERT Class 6 Maths Chapter 7, question 6 — Source question

By dividing the whole chikki into 6 equal parts in different ways, we get 1/6 chikki pieces of different shapes. Are they of the same size?

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Yes, they are of the same size. Page No. 155 Figure it out

Source worked solution for Class 6 Chapter 7, question 6, part 1 — Source worked answer · part 1

Source worked solution for Class 6 Chapter 7, question 6, part 2 — Source worked answer · part 2

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Solution sheet 2

Page No. 155 · Figure it out

NCERT Class 6 Maths Chapter 7, question 7 — Source question

The figures below show different fractional units of a whole chikki. How much of a whole chikki is each piece?

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Source worked solution for Class 6 Chapter 7, question 7, part 1 — Source worked answer · part 1

Section 7.3 · Figure it out Page No. 158

NCERT Class 6 Maths Chapter 7, question 8 — Source question

1. continue this table of the fraction shown above for 2 more steps.

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Source worked solution for Class 6 Chapter 7, question 8, part 1 — Source worked answer · part 1

Source solution page 38

NCERT Class 6 Maths Chapter 7, question 9 — Source question

2. Can you create a similar table for the fraction shown above ?

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Source worked solution for Class 6 Chapter 7, question 9, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 10 — Source question

4. Draw a picture and write an addition statement as above to show: the fractions shown above a. 5 times the fraction shown above of a roti b. 9 times the fraction shown above of a roti

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Source worked solution for Class 6 Chapter 7, question 10, part 1 — Source worked answer · part 1

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Solution sheet 3

Source solution page 39

NCERT Class 6 Maths Chapter 7, question 11 — Source question

5. Match each fractional unit with the correct picture: the fractions shown above

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Source worked solution for Class 6 Chapter 7, question 11, part 1 — Source worked answer · part 1

Section 7.4 · Page no. 159

NCERT Class 6 Maths Chapter 7, question 12 — Source question

1. Here, the fractional unit is dividing a length of 1 unit into three equal parts. Write the fraction that gives the length of the blue line in the box or in your notebook.

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2/3

Source worked solution for Class 6 Chapter 7, question 12, part 1 — Source worked answer · part 1

Section 7.4 · Page no. 159

NCERT Class 6 Maths Chapter 7, question 13 — Source question

2. Here, a unit is divided into 5 equal parts. Write the fraction that gives the length of the blue lines in the respective boxed or in your notebook.

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2 4 5, 5

Source worked solution for Class 6 Chapter 7, question 13, part 1 — Source worked answer · part 1

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Solution sheet 4

Source solution page 40

NCERT Class 6 Maths Chapter 7, question 14 — Source question

3. Now, a unit is divided into 8 equal parts. Write the appropriate fractions in your notebook.

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Source worked solution for Class 6 Chapter 7, question 14, part 1 — Source worked answer · part 1

Page no. 160 · Figure it out

NCERT Class 6 Maths Chapter 7, question 15 — Source question

1. On a number line, draw lines of lengths the fraction shown above, the fraction shown above, and the fraction shown above.

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Source worked solution for Class 6 Chapter 7, question 15, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 16 — Source question

3. How many fractions lie between 0 and 1? Think, discuss with your classmates, and

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write your Ans. Uncountable number of fractions

Source worked solution for Class 6 Chapter 7, question 16, part 1 — Source worked answer · part 1

Q3. How many fractions lie between 0 and 1? Think, discuss with your classmates, and

NCERT Class 6 Maths Chapter 7, question 17 — Source question

4. What is the length of the blue line and black line shown below? The distance between 0 and 1 is 1 unit long, and it is divided into two equal parts. The length of each part the fractions shown above is the fraction shown above. So the blue line is the fraction shown above units long. Write the fraction that gives the length of the black line in the box.

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3/2

Source worked solution for Class 6 Chapter 7, question 17, part 1 — Source worked answer · part 1

Source solution page 40

NCERT Class 6 Maths Chapter 7, question 18 — Source question

5. Write the fraction that gives the lengths of the black lines in the respective boxes.

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Source worked solution for Class 6 Chapter 7, question 18, part 1 — Source worked answer · part 1

Page No. 162 · Figure it out

NCERT Class 6 Maths Chapter 7, question 19 — Source question

1. How many whole units are there in the fraction shown above?

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Source worked solution for Class 6 Chapter 7, question 19, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 20 — Source question

2. How many whole units are there in the fraction shown above and in the fraction shown above?

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4 7 There is 1 whole unit in 3 and 2 whole units in 3. Figure it out

Source worked solution for Class 6 Chapter 7, question 20, part 1 — Source worked answer · part 1

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Solution sheet 5

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NCERT Class 6 Maths Chapter 7, question 21 — Source question

1. Figure out the number of whole units in each of the following fractions: the fractions shown above a. the fraction shown above b. the fraction shown above c. the fraction shown above

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a. 2 b. 2 c. 2

Source worked solution for Class 6 Chapter 7, question 21, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 22 — Source question

2. Can all fractions greater than 1 be written as such mixed numbers?

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Source worked solution for Class 6 Chapter 7, question 22, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 23 — Source question

3. Write the following fractions as mixed fractions (e.g., the fraction shown above = the fractions shown above ): the fractions shown above a. the fraction shown above b. the fraction shown above c. the fraction shown above d. the fraction shown above e. the fraction shown above f. the fraction shown above

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Source worked solution for Class 6 Chapter 7, question 23, part 1 — Source worked answer · part 1

Page No. 163 · Figure it out

NCERT Class 6 Maths Chapter 7, question 24 — Source question

1. Write the following mixed numbers as fractions: the fractions shown above a. 3 the fraction shown above b. 7 the fraction shown above c. 9 the fraction shown above d. 3 the fraction shown above e. 2 the fraction shown above f. 3 the fraction shown above

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Source worked solution for Class 6 Chapter 7, question 24, part 1 — Source worked answer · part 1

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Solution sheet 6

Section 7.6 · Page no. 164

NCERT Class 6 Maths Chapter 7, question 25 — Source question

1. Are the lengths the fraction shown above and the fraction shown above equal?

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Source worked solution for Class 6 Chapter 7, question 25, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 26 — Source question

2. Are the fraction shown above and the fraction shown above equivalent fractions? Why?

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Source worked solution for Class 6 Chapter 7, question 26, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 27 — Source question

3. How many pieces of length the fraction shown above will make a length of the fraction shown above?

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NCERT Class 6 Maths Chapter 7, question 28 — Source question

4. How many pieces of length the fraction shown above will make a length of the fraction shown above?

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Source worked solution for Class 6 Chapter 7, question 28, part 1 — Source worked answer · part 1

Page no. 165 · Figure it out

NCERT Class 6 Maths Chapter 7, question 29 — Source question

1. Are the fraction shown above, the fraction shown above, and the fraction shown above are equivalent fractions? Why?

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Source worked solution for Class 6 Chapter 7, question 29, part 1 — Source worked answer · part 1

Source solution page 42

NCERT Class 6 Maths Chapter 7, question 30 — Source question

2. Write two equivalent fractions for the fraction shown above.

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Source worked solution for Class 6 Chapter 7, question 30, part 1 — Source worked answer · part 1

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Solution sheet 7

Source solution page 43

NCERT Class 6 Maths Chapter 7, question 31 — Source question

3 . the fraction shown above = = = = = ……. (Write as many as you can)

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Source worked solution for Class 6 Chapter 7, question 31, part 1 — Source worked answer · part 1

Page no. 166 · Figure it out

NCERT Class 6 Maths Chapter 7, question 32 — Source question

1. Three rotis are shared equally by four children. Show the division in the picture and write a fraction for how much each child gets. Also, write the corresponding division facts, addition facts, and, multiplication facts. Fraction of roti each child gets is ______. Division fact: Addition fact: Multiplication fact: Compare your picture and answers with your classmates!

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Source worked solution for Class 6 Chapter 7, question 32, part 1 — Source worked answer · part 1

Source solution page 43

NCERT Class 6 Maths Chapter 7, question 33 — Source question

2. Draw a picture to show how much each child gets when 2 rotis are shared equally by 4 children. Also, write the corresponding division facts, addition facts, and multiplication facts. 1 gets

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Source worked solution for Class 6 Chapter 7, question 33, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 34 — Source question

3. Anil was in a group where 2 cakes were divided equally among 5 children. How much cake would Anil get?

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2 Anil would get 5 cake. Page no. 168 Section 7.6 Figure it out

Source worked solution for Class 6 Chapter 7, question 34, part 1 — Source worked answer · part 1

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Solution sheet 8

Section 7.6 · Figure it out

NCERT Class 6 Maths Chapter 7, question 35 — Source question

1. Find the missing numbers: a. 5 glasses of juice shared equally among 4 friends is the same as ____ glasses of juice shared equally among 8 friends. the fraction shown above So, the fraction shown above = the fraction shown above

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Source worked solution for Class 6 Chapter 7, question 35, part 1 — Source worked answer · part 1

Page no. 170 · Section 7.6

NCERT Class 6 Maths Chapter 7, question 36 — Source question

Suppose the number of children is kept the same, but the number of units that are being shared is increased? What can you say about each child’s share now? Why? Discuss how your reasoning explains the fractions shown above < the fraction shown above, the fraction shown above < the fraction shown above and the fraction shown above < the fraction shown above .

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Each child will have larger share now. If the number of units to be shared increase with same number of children then each child will have larger share.

Source worked solution for Class 6 Chapter 7, question 36, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 37 — Source question

Now, decide in which of the two groups will each child get a larger share: 1. Group 1: 3 glasses of sugarcane juice divided equally among 4 children. Group 2: 7 glasses of sugarcane juice divided equally among 10 children. 2. Group 1: 4 glasses of sugarcane juice divided equally among 7 children. Group 2: 5 glasses of sugarcane juice divided equally among 7 children. Which groups were easier to compare? Why?

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Source worked solution for Class 6 Chapter 7, question 37, part 1 — Source worked answer · part 1

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Solution sheet 9

Page no. 172 · Section 7.6

NCERT Class 6 Maths Chapter 7, question 38 — Source question

Find equivalent fractions for the given pairs of fractions such that the fractional units are the same. the fractions shown above a. the fraction shown above and the fraction shown above b. the fraction shown above and the fraction shown above c. the fraction shown above and the fraction shown above d. the fraction shown above and the fractions shown above e. the fraction shown above and the fraction shown above f. the fraction shown above and the fraction shown above g. the fraction shown above and the fraction shown above h. the fraction shown above and the fraction shown above

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Source worked solution for Class 6 Chapter 7, question 38, part 1 — Source worked answer · part 1

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Solution sheet 10

Section 7.6 · Figure it out

NCERT Class 6 Maths Chapter 7, question 39 — Source question

Express the following fractions in lowest terms: the fractions shown above a. the fraction shown above b. the fraction shown above c. the fraction shown above d. the fraction shown above

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1 a. 3 4 𝑏. 9 6 c. 7 75 d. 16 Page no. 174 Section 7.7 Figure it out

Source worked solution for Class 6 Chapter 7, question 39, part 1 — Source worked answer · part 1

Section 7.7 · Figure it out

NCERT Class 6 Maths Chapter 7, question 40 — Source question

1. Compare the following fractions and justify your answers: the fractions shown above a. the fraction shown above, the fraction shown above b. the fraction shown above , the fraction shown above c. the fraction shown above , the fractions shown above d. the fraction shown above , the fraction shown above e. the fraction shown above , the fraction shown above

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Source worked solution for Class 6 Chapter 7, question 40, part 1 — Source worked answer · part 1

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Solution sheet 11

Source solution page 47

NCERT Class 6 Maths Chapter 7, question 41 — Source question

2. Write the following fractions in ascending order. the fractions shown above a. the fraction shown above, the fraction shown above, the fraction shown above b. the fraction shown above, the fraction shown above, the fraction shown above

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Source worked solution for Class 6 Chapter 7, question 41, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 42 — Source question

3. Write the following fractions in descending order. the fractions shown above a. the fraction shown above, the fraction shown above, the fraction shown above, the fraction shown above b. the fraction shown above, the fraction shown above, the fraction shown above, the fraction shown above

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Source worked solution for Class 6 Chapter 7, question 42, part 1 — Source worked answer · part 1

Section 7.8 · Page no. 177

NCERT Class 6 Maths Chapter 7, question 43 — Source question

Try adding the fraction shown above + the fraction shown above using a number line. Do you get the same answer?

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Source worked solution for Class 6 Chapter 7, question 43, part 1 — Source worked answer · part 1

Section 7.8 · Figure it out

NCERT Class 6 Maths Chapter 7, question 44 — Source question

1. Add the following fractions using Brahmagupta’s method:

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Source worked solution for Class 6 Chapter 7, question 44, part 1 — Source worked answer · part 1

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Solution sheet 12

Source solution page 48

NCERT Class 6 Maths Chapter 7, question 45 — Source question

2. Rahim mixes the fraction shown above litres of yellow paint with the fraction shown above litres of blue paint to make green paint. What is the volume of green paint he has made?

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Source worked solution for Class 6 Chapter 7, question 45, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 46 — Source question

3. Geeta bought the fraction shown above meter of lace and Shamim bought the fraction shown above meter of the same lace to put a complete border on a table cloth whose perimeter is 1 meter long. Find the total length of the lace they both have bought. Will the lace be sufficient to cover the whole border?

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3 Total length of the lace = 1 20 m Yes. Section 7.8 Figure it out (Page no. 181) 5 3

Source worked solution for Class 6 Chapter 7, question 46, part 1 — Source worked answer · part 1

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Solution sheet 13

Section 7.8 · Figure it out (Page no. 181)

NCERT Class 6 Maths Chapter 7, question 47 — Source question

1. 8 - 8

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Source worked solution for Class 6 Chapter 7, question 47, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 48 — Source question

2. the fraction shown above - the fraction shown above

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Source worked solution for Class 6 Chapter 7, question 48, part 1 — Source worked answer · part 1

Source solution page 49

NCERT Class 6 Maths Chapter 7, question 49 — Source question

3. the fraction shown above - the fraction shown above

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Source worked solution for Class 6 Chapter 7, question 49, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 50 — Source question

1. Carry out the following subtractions using Brahmagupta’s method: 8 3 2 4 5 4 2 1 a. 15 - 15 b. 5 - 15 c. 6 - 9 d. 3 - 2

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1 a. 3 2 b. 15 7 c. 18 1 d. 6

Source worked solution for Class 6 Chapter 7, question 50, part 1 — Source worked answer · part 1

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Solution sheet 14

Source solution page 50

NCERT Class 6 Maths Chapter 7, question 51 — Source question

2. Subtract as indicated: the fractions shown above a. the fraction shown above from the fraction shown above b. the fraction shown above from the fraction shown above c. the fraction shown above from the fraction shown above

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1 a. 12 61 b. 15 16 c. 7

Source worked solution for Class 6 Chapter 7, question 51, part 1 — Source worked answer · part 1

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NCERT Class 6 Maths Chapter 7, question 52 — Source question

3. Solve the following problems: the fractions shown above a. Jaya’s school is the fraction shown above km from her home. She takes an auto for the fraction shown above km from her home daily, and then walks the remaining distance to reach her school. How much does she walk daily to reach the school? the fraction shown above b. Jeevika takes the fraction shown above minutes to take a complete round of the park and her friend the fraction shown above Namit takes the fraction shown above minutes to do the same. Who takes less time and by how much?

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1 a. 5 Km 1 b. Namit takes less time than Jeevika, by 12 minutes

Source worked solution for Class 6 Chapter 7, question 52, part 1 — Source worked answer · part 1

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