Page 76 - Start Up Mathematics_5

Property of Zero: When 0 is added to any fraction, we get the same fraction as the sum.

For example, 7 + 0 = 7 or 0 + 7 = 7
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Property of subtraction of fractions

Property of Zero: (a) When zero is subtracted from a fraction, we get the same fraction
as the difference.

For example, 8 – 0 = 8
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(b) When we subtract two same fractions, the result is 0.
For example, 3 – 3 = 0, 13 – 13 = 0
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EXERCISE 4.4

1. Find the following sums. Reduce them to the lowest term (if possible).
5 2 9 6 21
(a) + 3 (b) + 6 (c) + 2 (d) + 4 (e) + 7
8 7 13 11 32

(f) 26 + 1 (g) 31 + 2 (h) 8 + 6 (i) 5 + 3 (j) 9 + 12
35 44 7 10 15
2. Find the following differences.
3 6 1 5 4
(a) 9 – (b) 5 – (c) 2 – (d) 4 – (e) 7 –
5 7 4 8 9
2 1 6 7 5
(f) 11 – (g) 6 – (h) 8 – (i) 12 – (j) 3 –
3 3 11 9 14
3. Add the following fractions. Write the sum as mixed fraction.
2 3 3 4 1 3 5 7 9 7
(a) 1 + 1 (b) 2 + 2 (c) 3 + 2 (d) 3 + 1 (e) 4 + 3
5 4 5 7 7 7 9 9 11 11
4. Find the difference and write it as mixed fractions.

4 1 4 3 7 3 9 5 3 1
(a) 2 – 2 (b) 3 – 1 (c) 2 – 2 (d) 4 – 3 (e) 2 – 1
5 5 7 5 8 4 11 11 11 11
5. Fill in the blanks.
9 _____ _____ 33 _____ 95 16 16 _____
(a) + 0 = (b) + = + (c) – =
13 103 460 29 29
19 _____ 9 3 _____ 9 143 143 _____
(d) – 0 = (e) + = + (f) – =
31 7 5 7 275 275
1 _____ _____ 15 15 19 317 _____
(g) 0 + = (h) + = + (i) – 0 =
5 130 130 80 446
Simplification of Fractions

You have learnt to add and subtract two fractions. Now let’s learn to add and subtract more
than two fractions together.

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