Add 21/49 and 40/56
21/49 + 40/56 is 8/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 56 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 49 × 8 = 392,
21/49 = 21 × 8/49 × 8 = 168/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
40/56 = 40 × 7/56 × 7 = 280/392 - Add the two like fractions:
168/392 + 280/392 = 168 + 280/392 = 448/392 - 448/392 simplified gives 8/7
- So, 21/49 + 40/56 = 8/7
In mixed form: 11/7
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