Add 35/72 and 49/56
35/72 + 49/56 is 49/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 72 × 7 = 504,
35/72 = 35 × 7/72 × 7 = 245/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
49/56 = 49 × 9/56 × 9 = 441/504 - Add the two like fractions:
245/504 + 441/504 = 245 + 441/504 = 686/504 - 686/504 simplified gives 49/36
- So, 35/72 + 49/56 = 49/36
In mixed form: 113/36
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