Add 14/16 and 15/49
14/16 + 15/49 is 463/392.
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,
15/49 = 15 × 16/49 × 16 = 240/784 - Add the two like fractions:
686/784 + 240/784 = 686 + 240/784 = 926/784 - 926/784 simplified gives 463/392
- So, 14/16 + 15/49 = 463/392
In mixed form: 171/392
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