Add 35/49 and 15/16
35/49 + 15/16 is 185/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 49 × 16 = 784,
35/49 = 35 × 16/49 × 16 = 560/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
15/16 = 15 × 49/16 × 49 = 735/784 - Add the two like fractions:
560/784 + 735/784 = 560 + 735/784 = 1295/784 - 1295/784 simplified gives 185/112
- So, 35/49 + 15/16 = 185/112
In mixed form: 173/112
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