Add 4/49 and 7/64
4/49 + 7/64 is 599/3136.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 64 is 3136
Next, find the equivalent fraction of both fractional numbers with denominator 3136 - For the 1st fraction, since 49 × 64 = 3136,
4/49 = 4 × 64/49 × 64 = 256/3136 - Likewise, for the 2nd fraction, since 64 × 49 = 3136,
7/64 = 7 × 49/64 × 49 = 343/3136 - Add the two like fractions:
256/3136 + 343/3136 = 256 + 343/3136 = 599/3136 - So, 4/49 + 7/64 = 599/3136
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