Add 5/49 and 28/64
5/49 + 28/64 is 423/784.
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,
5/49 = 5 × 64/49 × 64 = 320/3136 - Likewise, for the 2nd fraction, since 64 × 49 = 3136,
28/64 = 28 × 49/64 × 49 = 1372/3136 - Add the two like fractions:
320/3136 + 1372/3136 = 320 + 1372/3136 = 1692/3136 - 1692/3136 simplified gives 423/784
- So, 5/49 + 28/64 = 423/784
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