Add 21/32 and 49/70
21/32 + 49/70 is 217/160.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 70 is 1120
Next, find the equivalent fraction of both fractional numbers with denominator 1120 - For the 1st fraction, since 32 × 35 = 1120,
21/32 = 21 × 35/32 × 35 = 735/1120 - Likewise, for the 2nd fraction, since 70 × 16 = 1120,
49/70 = 49 × 16/70 × 16 = 784/1120 - Add the two like fractions:
735/1120 + 784/1120 = 735 + 784/1120 = 1519/1120 - 1519/1120 simplified gives 217/160
- So, 21/32 + 49/70 = 217/160
In mixed form: 157/160
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