Add 30/96 and 49/63
30/96 + 49/63 is 157/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 63 is 2016
Next, find the equivalent fraction of both fractional numbers with denominator 2016 - For the 1st fraction, since 96 × 21 = 2016,
30/96 = 30 × 21/96 × 21 = 630/2016 - Likewise, for the 2nd fraction, since 63 × 32 = 2016,
49/63 = 49 × 32/63 × 32 = 1568/2016 - Add the two like fractions:
630/2016 + 1568/2016 = 630 + 1568/2016 = 2198/2016 - 2198/2016 simplified gives 157/144
- So, 30/96 + 49/63 = 157/144
In mixed form: 113/144
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