Add 8/49 and 14/16
8/49 + 14/16 is 407/392.
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,
8/49 = 8 × 16/49 × 16 = 128/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
14/16 = 14 × 49/16 × 49 = 686/784 - Add the two like fractions:
128/784 + 686/784 = 128 + 686/784 = 814/784 - 814/784 simplified gives 407/392
- So, 8/49 + 14/16 = 407/392
In mixed form: 115/392
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