Add 35/56 and 42/49
35/56 + 42/49 is 83/56.
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,
35/56 = 35 × 7/56 × 7 = 245/392 - Likewise, for the 2nd fraction, since 49 × 8 = 392,
42/49 = 42 × 8/49 × 8 = 336/392 - Add the two like fractions:
245/392 + 336/392 = 245 + 336/392 = 581/392 - 581/392 simplified gives 83/56
- So, 35/56 + 42/49 = 83/56
In mixed form: 127/56
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