R d sharma mathematics solutions class 6 Solutions for Chapter 6 fractions

Write the fraction representing the shaded portion:

Write the fraction representing the shaded parts:

Write the fraction representing the shaded portion:

Colour the part according to the fraction given:

What fraction of an hour is 20 minutes?

Write the natural numbers from 2 to 12. What fraction of them are prime numbers?

Write the natural numbers from 102 to 113. What fraction of them are prime numbers?

Mukesh has a box of 24 pencils. He gives half of them to Sunita. How many does Sunita get? How many does Mukesh still have?

Kavita has 44 cassettes. She gives ¾ of them to Sonia. How many does Sonia get? How many doesKavita keep?

Shikhas has three frocks that she wears when playing. The material is good, but the colours are faded. Her mother buys some blue dye and uses it on two of the frocks. What fraction of all of the Shikha play frocks did her mother dye?

Represent 2/5 on a number line.

Represent 0/10, 1/10, 5/10 and 10/10 on a number line

Represent 2/7, 5/7 and 6/7 on a number line.

How many fractions lie between 0 and 1.

Write each of the following divisions as fractions:

i) 6 ÷ 3

(ii) 25 ÷ 5

(iii) 125 ÷ 50

(iv) 55 ÷ 11

Write each of the following fractions as divisions:

(i) 9/7

(ii) 3/11

(iii) 90/63

(iv) 1/5

Convert each of the following into a mixed fraction:

(i) 28/9

(ii) 226/15

(iii) 145/9

(iv) 128/5

Convert each of the following into an improper fraction:

(i) 7 ¼

(ii) 8 5/7

(iii) 5 3/10

(iv) 12 7/15

Write the fractions and check whether they are equivalent or not:

Write the fractions and match fractions in Column I with the equivalent fractions in Column II.

Replace ☐ in each of the following by the correct number:

(i) 2/7 = 6/ ☐

(ii) 5/8 = 10/☐

(iii) 4/5 = ☐/20

(iv) 45/60 = 15/ ☐

(v) 18/24 = ☐/4

Find the equivalent fraction of 3/5, having:

(i) numerator 9

(ii) denominator 30

(iii) numerator 21

(iv) denominator 40

Find the fraction equivalent to 45/60, having:

(i) numerator 15

(ii) denominator 4

(iii) denominator 240

(iv) numerator 135

Find the fraction equivalent of 35/42, having:

(i) numerator 15

(ii) denominator 18

(iii) denominator 30

(iv) numerator 30

Check whether the given fractions are equivalent:

(i) 5/9, 30/54

(ii) 2/7, 16/42

(iii) 7/13, 5/11

(iv) 4/11, 32/88

(v) 3/10, 12/50

(vi) 9/27, 25/75

Match the equivalent fractions and write another 2 for each:

(i) 250/400 (a) 2/3

(ii) 180/200 (b) 2/5

(iii) 660/990 (c) ½

(iv) 180/360 (d) 5/8

(v) 220/550 (e) 9/10

Write some equivalent fractions which contain all digits from 1 to 9 once only

Ravish had 20 pencils, Sikha had 50 pencils and Priya had 80 pencils. After 4 months, Ravish used up 10 pencils, Shikha used up 25 pencils and Priya used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of their pencils?

Reduce each of the following fractions to its lowest term (simplest form):

(i) 40/75

(ii) 42/28

(iii) 12/52

(iv) 40/72

(v) 80/24

(vi) 84/56

Simplify each of the following to its lowest term:

(i) 75/80

(ii) 52/76

(iii) 84/98

(iv) 68/17

(v) 150/50

(vi) 162/108

Write each fraction. Arrange them in ascending and descending order using correct sign <, =, >between the fractions:

Mark 2/6, 4/6, 8/6 and 6/6 on the number line and put appropriate signs between fractions givenbelow:

(i) 5/6 ………. 2/6

(ii) 3/6 ……… 0/6

(iii) 1/6 …….. 6/6

(iv) 8/6 …….. 5/

Compare the following fractions and put an appropriate sign:

(i) 3/6 …….. 5/6

(ii) 4/5 ……. 0/5

(iii) 3/20 …….. 4/20

(iv) 1/7 ……… 1/4

Compare the following fractions using the symbol > or <:

(i) 6/7 and 6/11

(ii) 3/7 and 5/7

(iii) 2/3 and 8/12

(iv) 1/5 and 4/15

(v) 8/3 and 8/13

(vi) 4/9 and 15/8

The following fractions represent just three different numbers. Separate them in to three groups of equal fractions by changing each one to its simplest form:

(i) 2/12

(ii) 3/15

(iii) 8/50

(iv) 16/100

(v) 10/60

(vi) 15/75

(vii) 12/60

(viii) 16/96

(ix) 12/75

(xi) 3/18

(xii) 4/25

Isha read 25 pages of a book containing 100 pages. Nagma read ½ of the same book. Who read less?

Arrange the following fractions in the ascending order:

(i) 2/9, 7/9, 3/9, 4/9, 1/9, 6/9, 5/9

(ii) 7/8, 7/25, 7/11, 7/18, 7/10

(iii) 37/47, 37/50, 37/100, 37/1000, 37/85, 37/41

(iv) 3/5, 1/5, 4/5, 2/5

(v) 2/5, 3/4, 1/2, 3/5

(vi) 3/8, 3/12. 3/6, 3/4

(vii) 4/6, 3/8, 6/12, 5/16

Arrange in descending order in each of the following using the symbol >:

(i) 8/17, 8/9, 8/5, 8/13

(ii) 5/9, 3/12, 1/3, 4/15

(iii) 2/7, 11/35, 9/14, 13/28

Find answers to the following. Write and indicate how you solved them.

(i) Is 5/9 equal to 4/5?

(ii) Is 9/16 equal to 5/9?

(iii) Is 4/5 equal to 16/20?

(iv) Is 1/15 equal to 4/30?

Write these fractions appropriately as additions or subtractions:

Solve:

(i) 5/12 + 1/12

(ii) 3/15 + 7/15

(iii) 3/22 + 7/22

(iv) 1/4 + 0/4

(v) 4/13 + 2/13 + 1/13

(vi) 0/15 + 2/15 + 1/15

(vii) 7/31 – 4/31 + 9/31

(viii) 3 2/7 + 1/7 – 2 3/7

(ix) 2 1/3 – 1 2/3 + 4 1/3

(x) 1 – 2/3 + 7/3

(xi) 16/7 – 5/7 + 9/7

Shikha painted 1/5 of the wall space in her room. Her brother Ravish helped and painted 3/5 of thewall space. How much did they paint together? How much the room is left unpainted?

Ramesh bought 2 ½ kg sugar whereas Rohit bought 3 ½ kg of sugar. Find the total amount ofsugar bought by both of them.

The teacher taught 3/5 of the book, Vivek revised 1/5 more on his own. How much does he still have to revise?

Fill in the missing fractions:

(i) 7/10 – ☐ = 3/10

(ii) ☐ – 3/21 = 5/21

(iii) ☐ – 3/6 = 3/6

(iv) ☐ – 5/27 = 12/27

Add:

(i) 3/4 and 5/6

(ii) 7/10 and 2/15

(iii) 8/13 and 2/3

(iv) 4/5 and 7/15

Subtract:

(i) 2/7 from 19/21

(ii) 21/25 from 18/20

(iii) 7/16 from 2

(iv) 4/15 from 2 1/5

Find the difference of:

(i) 13/24 and 7/16

(ii) 5/18 and 4/15

(iii) 1/12 and 3/4

(iv) 2/3 and 6/7

Subtract as indicated:

(i) 8/3 – 5/9

(ii) 4 2/5 – 2 1/5

(iii) 5 6/7 – 2 2/3

(iv) 4 3/4 – 2 1/6

Simplify:

(i) 2/3 + 3/4 + 1/2

(ii) 5/8 + 2/5 + 3/4

(iii) 3/10 + 7/15 + 3/5

(iv) 3/4 + 7/16 + 5/8

(v) 4 2/3 + 3 1/4 + 7 1/2

(vi) 7 1/3 + 3 2/3 + 5 1/6

(vii) 7 + 7/4 + 5 1/6

(viii) 5/6 + 3 + 3/4

(ix) 7/18 + 5/6 + 1 1/12

Replace ☐ by the correct number:

(i) ☐ – 5/8 = 1/4

(ii) ☐ – 1/5 = 1/2

(iii) 1/2 – ☐ = 1/6

Savita bought 2/5 m of ribbon and Kavita 3/4 m of the ribbon. What was the total length of the ribbon they bought?

Ravish takes 2 1/5 minutes to walk across the school ground. Rahul takes 7/4 minutes to do the same. Who takes less time and by what fraction?

A piece of a wire 7/8 metres long broke into two pieces. One piece was ¼ meter long. How long is the other piece?

Shikha and Priya have bookshelves of the same size Shikha’s shelf is 5/6 full of book and Priya’s shelf is 2/5 full. Whose bookshelf is more full? By what fraction?

Ravish’s house is 9/10 km from his school. He walked some distance and then took a bus for 1/2km upto the school. How far did he walk?