Add 10/16 and 14/49
10/16 + 14/49 is 51/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 49 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 16 × 49 = 784,
10/16 = 10 × 49/16 × 49 = 490/784 - Likewise, for the 2nd fraction, since 49 × 16 = 784,
14/49 = 14 × 16/49 × 16 = 224/784 - Add the two like fractions:
490/784 + 224/784 = 490 + 224/784 = 714/784 - 714/784 simplified gives 51/56
- So, 10/16 + 14/49 = 51/56
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