Add 21/56 and 14/35
21/56 + 14/35 is 31/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 35 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 56 × 5 = 280,
21/56 = 21 × 5/56 × 5 = 105/280 - Likewise, for the 2nd fraction, since 35 × 8 = 280,
14/35 = 14 × 8/35 × 8 = 112/280 - Add the two like fractions:
105/280 + 112/280 = 105 + 112/280 = 217/280 - 217/280 simplified gives 31/40
- So, 21/56 + 14/35 = 31/40
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