Add 56/21 and 49/64
1st number: 2 14/21, 2nd number: 49/64
56/21 + 49/64 is 659/192.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 64 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 21 × 64 = 1344,
56/21 = 56 × 64/21 × 64 = 3584/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
49/64 = 49 × 21/64 × 21 = 1029/1344 - Add the two like fractions:
3584/1344 + 1029/1344 = 3584 + 1029/1344 = 4613/1344 - 4613/1344 simplified gives 659/192
- So, 56/21 + 49/64 = 659/192
In mixed form: 383/192
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