Add 40/56 and 27/49
40/56 + 27/49 is 62/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 49 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 56 × 7 = 392,
40/56 = 40 × 7/56 × 7 = 280/392 - Likewise, for the 2nd fraction, since 49 × 8 = 392,
27/49 = 27 × 8/49 × 8 = 216/392 - Add the two like fractions:
280/392 + 216/392 = 280 + 216/392 = 496/392 - 496/392 simplified gives 62/49
- So, 40/56 + 27/49 = 62/49
In mixed form: 113/49
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