Add 21/72 and 49/56
21/72 + 49/56 is 7/6.
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,
21/72 = 21 × 7/72 × 7 = 147/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
49/56 = 49 × 9/56 × 9 = 441/504 - Add the two like fractions:
147/504 + 441/504 = 147 + 441/504 = 588/504 - 588/504 simplified gives 7/6
- So, 21/72 + 49/56 = 7/6
In mixed form: 11/6
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