Add 8/49 and 30/32
8/49 + 30/32 is 863/784.
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,
8/49 = 8 × 32/49 × 32 = 256/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
30/32 = 30 × 49/32 × 49 = 1470/1568 - Add the two like fractions:
256/1568 + 1470/1568 = 256 + 1470/1568 = 1726/1568 - 1726/1568 simplified gives 863/784
- So, 8/49 + 30/32 = 863/784
In mixed form: 179/784
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