Add 35/49 and 10/16
35/49 + 10/16 is 75/56.
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,
10/16 = 10 × 49/16 × 49 = 490/784 - Add the two like fractions:
560/784 + 490/784 = 560 + 490/784 = 1050/784 - 1050/784 simplified gives 75/56
- So, 35/49 + 10/16 = 75/56
In mixed form: 119/56
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