Add 30/49 and 7/16
30/49 + 7/16 is 823/784.
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,
30/49 = 30 × 16/49 × 16 = 480/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
7/16 = 7 × 49/16 × 49 = 343/784 - Add the two like fractions:
480/784 + 343/784 = 480 + 343/784 = 823/784 - So, 30/49 + 7/16 = 823/784
In mixed form: 139/784
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