Add 9/49 and 40/56
9/49 + 40/56 is 44/49.
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,
9/49 = 9 × 8/49 × 8 = 72/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
40/56 = 40 × 7/56 × 7 = 280/392 - Add the two like fractions:
72/392 + 280/392 = 72 + 280/392 = 352/392 - 352/392 simplified gives 44/49
- So, 9/49 + 40/56 = 44/49
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