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(i) Find the least common denominator or LCM of the two denominators:
LCM of 10 and 15 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30
For the 1st fraction, since 10 × 3 = 30,
3
10
=
3 × 3
10 × 3
=
9
30
Likewise, for the 2nd fraction, since 15 × 2 = 30,
1
15
=
1 × 2
15 × 2
=
2
30
Add the two like fractions:
9
30
+
2
30
=
9 + 2
30
=
11
30
So, 3/10 + 1/15 = 11/30
(ii) Find the least common denominator or LCM of the two denominators:
LCM of 9 and 18 is 18
Next, find the equivalent fraction of both fractional numbers with denominator 18
For the 1st fraction, since 9 × 2 = 18,
7/9
=
7 × 2
9 × 2
=
14/18
Likewise, for the 2nd fraction, since 18 × 1 = 18,
5/18
=
5 × 1
18 × 1
=
5/18
Subtract the two like fractions:
14/18
-
5/18
=
14 - 5/18
=
9/18
After reducing the fraction, the answer is
1/2
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