Add 21/36 and 49/56
21/36 + 49/56 is 35/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 36 × 14 = 504,
21/36 = 21 × 14/36 × 14 = 294/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
49/56 = 49 × 9/56 × 9 = 441/504 - Add the two like fractions:
294/504 + 441/504 = 294 + 441/504 = 735/504 - 735/504 simplified gives 35/24
- So, 21/36 + 49/56 = 35/24
In mixed form: 111/24
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