Add 14/16 and 27/49
14/16 + 27/49 is 559/392.
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,
14/16 = 14 × 49/16 × 49 = 686/784 - Likewise, for the 2nd fraction, since 49 × 16 = 784,
27/49 = 27 × 16/49 × 16 = 432/784 - Add the two like fractions:
686/784 + 432/784 = 686 + 432/784 = 1118/784 - 1118/784 simplified gives 559/392
- So, 14/16 + 27/49 = 559/392
In mixed form: 1167/392
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