Page 86 - Math Genius C5

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\ 08-Oct-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

practice time 4a coMparing and ordEring Fractions
comparing Fractions visually
1. Identify the unit fractions.
1 2 1 7 1 4 1 Take paper plates and divide them into various
, ,
, , , ,
fractional parts (e.g., one into halves, another into
8 5 5 8 10 9 14 quarters, another into eighths).
2. Choose like and unlike fractions from the following groups: Now, compare the parts of different fractions by placing cutouts over one another.
4 3 6 1 5
5 1 2 7 3
4 4 3 7 2
( a) , , , , ( b) , , , , ( c) , , , , Note which is larger or smaller.
4 8 5 5 7 5 4 7 4 9 7 9 5 8 7
3. Which of the following are proper fractions? comparing like Fractions
( a) 2 ( b) 5 ( c) 5 ( d) 9 ( e) 7 We know that like fractions are fractions with the same denominator.
3 3 8 11 1 If the fractions are like fractions, then the fraction with the greater numerator is greater.
4. Which of the following are improper fractions? Example 1: Compare the following:
3
4
5
7
( a) 7 ( b) 9 ( c) 11 ( d) 9 ( e) 1 (a) and (b) and (c) 7 and 5
9 5 7 1 4 5 5 8 8 10 10
5. Convert the following mixed fractions into improper fractions. Solution: Look at the given pairs of fractions and compare them by observing the diagrams.
4
3
5
7
( a) 2 3 ( b) 4 1 ( c) 3 2 ( d) 7 3 (e) 13 7 (a) and (b) and (c) 7 and 5
8 3 11 7 8 5 5 8 8 10 10
6. Convert the following improper fractions into mixed fractions.
( a) 17 ( b) 19 ( c) 29 ( d) 26 (e) 32
4 4 5 8 6
7
5
7. Write the first five equivalent fractions of: 4 > 3 5 < 7 10 > 10
8
5
5
8
( a) 1 ( b) 1 ( c) 2 ( d) 8 ( e) 2
5 4 7 11 5 Think Tank Logical Thinking
8. Fill the missing numbers in the boxes to make equivalent fractions. Ria and Sia went to a juice corner. They bought the same quantity of juice.
5
2
( a) 16 = = 4 ( b) 12 = 3 ( c) 3 = Ria drank and Sia drank of the juice. Who drank more juice?
9
9
80 40 32 11 55
4
( d) = ( e) 12 = = = ( f) 15 = = 3 = comparing unlike Fractions
9 63 48 24 16 8 75 25 5 For Fractions with the same numerator
( g) 36 = = 12 = 3 For fractions with the same numerator, the fraction with the smaller denominator is greater.
60 10 Let us compare and .
1
1
5
9. Find the equivalent fraction of with 2 3
1
7 Look at the adjoining figure. For , the strip has been divided into 2 equal
( a) denominator 28 (b) numerator 25 (c) denominator 49 parts and one part is shaded. 2
1
10. Reduce each of the following fractions to its lowest term. For , the same strip has been divided into three equal parts and one part is shaded.
3
( a) 8 ( b) 15 ( c) 8 ( d) 12 ( e) 16 Clearly, 1 shaded part out of 2 equal parts is larger than 1 shaded part out of 3 equal
24 20 10 15 34 parts.

( f) 15 ( g) 18 ( h) 52 ( i) 4 ( j) 10 1 1
39 45 65 12 24 Hence, > .
3
2
84 Mathematics-5