Add 15/21 and 45/64
15/21 + 45/64 is 635/448.
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,
15/21 = 15 × 64/21 × 64 = 960/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
45/64 = 45 × 21/64 × 21 = 945/1344 - Add the two like fractions:
960/1344 + 945/1344 = 960 + 945/1344 = 1905/1344 - 1905/1344 simplified gives 635/448
- So, 15/21 + 45/64 = 635/448
In mixed form: 1187/448
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