Add 30/48 and 42/63
30/48 + 42/63 is 31/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 63 is 1008
Next, find the equivalent fraction of both fractional numbers with denominator 1008 - For the 1st fraction, since 48 × 21 = 1008,
30/48 = 30 × 21/48 × 21 = 630/1008 - Likewise, for the 2nd fraction, since 63 × 16 = 1008,
42/63 = 42 × 16/63 × 16 = 672/1008 - Add the two like fractions:
630/1008 + 672/1008 = 630 + 672/1008 = 1302/1008 - 1302/1008 simplified gives 31/24
- So, 30/48 + 42/63 = 31/24
In mixed form: 17/24
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