Add 27/42 and 9/64
27/42 + 9/64 is 351/448.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 64 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 42 × 32 = 1344,
27/42 = 27 × 32/42 × 32 = 864/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
9/64 = 9 × 21/64 × 21 = 189/1344 - Add the two like fractions:
864/1344 + 189/1344 = 864 + 189/1344 = 1053/1344 - 1053/1344 simplified gives 351/448
- So, 27/42 + 9/64 = 351/448
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