Add 4/49 and 14/16
4/49 + 14/16 is 375/392.
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,
4/49 = 4 × 16/49 × 16 = 64/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
14/16 = 14 × 49/16 × 49 = 686/784 - Add the two like fractions:
64/784 + 686/784 = 64 + 686/784 = 750/784 - 750/784 simplified gives 375/392
- So, 4/49 + 14/16 = 375/392
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