Add 30/63 and 42/48
30/63 + 42/48 is 227/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 48 is 1008
Next, find the equivalent fraction of both fractional numbers with denominator 1008 - For the 1st fraction, since 63 × 16 = 1008,
30/63 = 30 × 16/63 × 16 = 480/1008 - Likewise, for the 2nd fraction, since 48 × 21 = 1008,
42/48 = 42 × 21/48 × 21 = 882/1008 - Add the two like fractions:
480/1008 + 882/1008 = 480 + 882/1008 = 1362/1008 - 1362/1008 simplified gives 227/168
- So, 30/63 + 42/48 = 227/168
In mixed form: 159/168
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