Add 3/49 and 40/56
3/49 + 40/56 is 38/49.
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,
3/49 = 3 × 8/49 × 8 = 24/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
40/56 = 40 × 7/56 × 7 = 280/392 - Add the two like fractions:
24/392 + 280/392 = 24 + 280/392 = 304/392 - 304/392 simplified gives 38/49
- So, 3/49 + 40/56 = 38/49
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