Worksheet on Conversion of Fractions

In worksheet on conversion of fractions covers questions on conversion of fractions into fractions having same denominator and also on conversion of fractions into its smallest and simplest form. This exercise sheet on conversion of fractions can be practiced by the students to get more ideas on fractions.

1. (i) Change the fractions 2/5, 7/10 and 11/15 into fractions having 30 as denominator.

(ii) Change the fractions 2/3, 5/6, 7/9 and 9/24 into fractions having 72 as denominator.

2. Change the given fractions into fractions of the same denominator.

(i) 1/4 and 5/12

(ii) 4/5 and 7/15

(iii) 3/4 and 11/18

(iv) 2/8, 7/12 and 13/24

(v) 2/5, 3/7 and 27/35

(vi) 5/8, 3/4 and 11/12

(vii) 3/4 7/12 and 17/24

(viii) 5/8, 7/16 and 9/16

(ix) 4/7, 5/28 and 9/28

3. Which is the greater fraction?

(i) 2/9 or 5/12 ⇒ (8/36 or 15/36) so 15/16 > 8/36

(ii) 3/4 or 11/18

(iii) 11/16 or 13/24

(iv) 5/2 or 11/3

(v) 1 11/12 or 1 11/15

4. Which is the smaller fraction?

(i) 4/7 or 2/3 ⇒ (12/21 or 14/21) so, 12/21 < 14/21

(ii) 3/7 or 5/9

(iii) 11/16 or 13/20

(iv) 5/14 or 10/21

(v) 7/16 or 19/24

5. Fill in the blanks with the symbol > or <:

(i) 1/3 ………. 1/5

(ii) 5/12 ………. 7/8

(iii) 11/12 ………. 5/6

(iv) 2/3 ………. 14/15

(v) 11/12 ………. 15/16

(vi) 5/12 ………. 9/16

6. Arrange the given fractions in ascending order by changing them into fractions of the same denominator:

(i) 2/3, 3/4, 5/6

(ii) 5/9, 4/5, 11/15

(iii) 5/8, 3/4, 11/12

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

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

(vi) 2/5, 3/7, 27/35

7. Arrange the given fractions in descending order by changing them into fractions of the same denominator:

(i) 5/11, 9/22, 8/33

(ii) 5/7, 2/3, 9/14

(iii) 13/15, 13/30, 14/45

(iv) 1/4, 3/8, 3/16

(v) 3/4, 3/8, 7/16

(vi) 8/15, 9/20, 7/12

8. Change the fractions into their simplest form:

(i) 30/40

(ii) 8/24

(iii) 45/60

(iv) 36/180

(v) 75/80

(vi) 48/72

(vii) 72/180

(viii) 144/192

9. Which is greater?

(i) 1 3/5 kg of apple or 1 2/3 kg of chikoo?

(ii) 3/5 part of an iron rod or 3/4 part of the same iron rod?

10. Find the reciprocal of the following by interchanging the numerators and denominators:

(i) 3/5

(ii) 17/18

(iii) 6/17

(iv) 17/5

(v) 25/30

(vi) 36/118

(vii) 115/18

(viii) 3/26

If students have any queries regarding the Worksheet on expanded form of a number questions please fill-up the below comment box so that we can help you.

However, suggestions for further improvement, from all quarters would be greatly appreciated.

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