Add 16/49 and 30/32
16/49 + 30/32 is 991/784.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 32 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 49 × 32 = 1568,
16/49 = 16 × 32/49 × 32 = 512/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
30/32 = 30 × 49/32 × 49 = 1470/1568 - Add the two like fractions:
512/1568 + 1470/1568 = 512 + 1470/1568 = 1982/1568 - 1982/1568 simplified gives 991/784
- So, 16/49 + 30/32 = 991/784
In mixed form: 1207/784
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