Subtraction of Fractions Exercises – Set 1

Find the difference of the following:

1. 8/11 – 3/11

2. 7/16 – 3/16

3. 4/5 – 3/4

4. 7 – 4/9

5. 8 9/10 – 3/10

6. 6 2/7 – 5/7

7. 4 1/3 – 1/6

8. 6 3/5 – 2 3/4

9. 11 2/3 – 7

10. 9 2/5 – 11/9

Answers:

1. 5/11

2. 1/4

Solution
7/16 – 3/16 = 4/16 = 1/4

3. 1/20

Solution
LCD: 20
4/5 – 3/4 = 16/20 – 15/20 = 1/20

4. 6 5/9

Solution

We can decompose 7 into 6 and 9/9.

6 9/9 – 4/9 = 6 5/9

5. 8 3/5

Solution
8 9/10 – 3/10 = 8 6/10 = 8 3/5

6. 5 4/7

Solution
5 9/7 – 5/7 = 5 4/7

7. 4 1/6

Solution
LCD: 6
4 1/3 – 1/6 = 4 2/6 – 1/6 = 4 1/6

8. 3 17/20

Solution
LCD: 20
5 8/5 – 2 3/4 = 5 32/20 – 2 15/20 = 3 17/20

9. 4 2/3

Solution
11 2/3 – 7 = 4 2/3

10. 8 8/45

Solution
9 2/5 – 11/9 = 8 7/5 – 11/9
LCD: 45
8 63/45 – 55/45
8 8/45

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