Add 27/49 and 10/32
27/49 + 10/32 is 677/784.
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,
27/49 = 27 × 32/49 × 32 = 864/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
10/32 = 10 × 49/32 × 49 = 490/1568 - Add the two like fractions:
864/1568 + 490/1568 = 864 + 490/1568 = 1354/1568 - 1354/1568 simplified gives 677/784
- So, 27/49 + 10/32 = 677/784
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