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\ 30-Sep-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________
2. Which of the following are improper fractions?
(a) 4 (b) 3 (c) 5 (d) 9 (e) 15
9 2 7 11 4
3. Which of the following are unit fractions?
9 1 4 1 3 1
(a) (b) (c) (d) (e) (f)
10 5 8 9 7 8
4. Convert the following improper fractions into mixed fractions.
(a) 9 (b) 12 (c) 19
5 7 15
(d) 30 (e) 20 (f) 24
12 13 5
5. Convert the following mixed fractions into improper fractions.
1 1 2
(a) 8 (b) 7 (c) 10
2 3 3
1 1 1
(d) 4 (e) 5 (f) 9
4 5 7
6. Fill in the boxes with the correct numbers in each of the following.
3 4 32 26 5
(a) 3 = (b) 4 = (c) 8 = (d) 4 =
5 5 7 3 3 6 6
comParing and ordering Fractions
comparing Like Fractions
To compare like fractions, we observe their numerators. The fraction with the greater
numerator is greater.
4 3
Example 1: Compare and .
5 5
4 3
Solution: and are like fractions. 4 3
5 5 5 5
We can see that the shaded part in the first Be Aware
figure is bigger than that of the second figure. When the denominators
4 3 are the same, we compare
So, > [Since, 4 > 3] only the numerators.
5 5
2 5 2
Example 2: Compare and .
7 7 7 5
Solution: Comparing the numerators 2 and 5, we have 2 < 5. 7
2 5
Thus, <
7 7
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