Add 21/49 and 9/16
21/49 + 9/16 is 111/112.
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,
21/49 = 21 × 16/49 × 16 = 336/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
9/16 = 9 × 49/16 × 49 = 441/784 - Add the two like fractions:
336/784 + 441/784 = 336 + 441/784 = 777/784 - 777/784 simplified gives 111/112
- So, 21/49 + 9/16 = 111/112
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