Add 7/16 and 49/63
7/16 + 49/63 is 175/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 63 is 1008
Next, find the equivalent fraction of both fractional numbers with denominator 1008 - For the 1st fraction, since 16 × 63 = 1008,
7/16 = 7 × 63/16 × 63 = 441/1008 - Likewise, for the 2nd fraction, since 63 × 16 = 1008,
49/63 = 49 × 16/63 × 16 = 784/1008 - Add the two like fractions:
441/1008 + 784/1008 = 441 + 784/1008 = 1225/1008 - 1225/1008 simplified gives 175/144
- So, 7/16 + 49/63 = 175/144
In mixed form: 131/144
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