Add 35/49 and 40/56
35/49 + 40/56 is 10/7.
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,
35/49 = 35 × 8/49 × 8 = 280/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
40/56 = 40 × 7/56 × 7 = 280/392 - Add the two like fractions:
280/392 + 280/392 = 280 + 280/392 = 560/392 - 560/392 simplified gives 10/7
- So, 35/49 + 40/56 = 10/7
In mixed form: 13/7
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