Add 8/49 and 30/64
8/49 + 30/64 is 991/1568.
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,
8/49 = 8 × 64/49 × 64 = 512/3136 - Likewise, for the 2nd fraction, since 64 × 49 = 3136,
30/64 = 30 × 49/64 × 49 = 1470/3136 - Add the two like fractions:
512/3136 + 1470/3136 = 512 + 1470/3136 = 1982/3136 - 1982/3136 simplified gives 991/1568
- So, 8/49 + 30/64 = 991/1568
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