Add 7/49 and 7/16
7/49 + 7/16 is 65/112.
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,
7/49 = 7 × 16/49 × 16 = 112/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
7/16 = 7 × 49/16 × 49 = 343/784 - Add the two like fractions:
112/784 + 343/784 = 112 + 343/784 = 455/784 - 455/784 simplified gives 65/112
- So, 7/49 + 7/16 = 65/112
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