Add 35/49 and 9/16
35/49 + 9/16 is 143/112.
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,
9/16 = 9 × 49/16 × 49 = 441/784 - Add the two like fractions:
560/784 + 441/784 = 560 + 441/784 = 1001/784 - 1001/784 simplified gives 143/112
- So, 35/49 + 9/16 = 143/112
In mixed form: 131/112
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