Add 56/64 and 1/49
56/64 + 1/49 is 351/392.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 49 is 3136
Next, find the equivalent fraction of both fractional numbers with denominator 3136 - For the 1st fraction, since 64 × 49 = 3136,
56/64 = 56 × 49/64 × 49 = 2744/3136 - Likewise, for the 2nd fraction, since 49 × 64 = 3136,
1/49 = 1 × 64/49 × 64 = 64/3136 - Add the two like fractions:
2744/3136 + 64/3136 = 2744 + 64/3136 = 2808/3136 - 2808/3136 simplified gives 351/392
- So, 56/64 + 1/49 = 351/392
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