Add 21/42 and 7/64
21/42 + 7/64 is 39/64.
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,
21/42 = 21 × 32/42 × 32 = 672/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
7/64 = 7 × 21/64 × 21 = 147/1344 - Add the two like fractions:
672/1344 + 147/1344 = 672 + 147/1344 = 819/1344 - 819/1344 simplified gives 39/64
- So, 21/42 + 7/64 = 39/64
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