Add 49/15 and 56/64
1st number: 3 4/15, 2nd number: 56/64
49/15 + 56/64 is 497/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 64 is 960
Next, find the equivalent fraction of both fractional numbers with denominator 960 - For the 1st fraction, since 15 × 64 = 960,
49/15 = 49 × 64/15 × 64 = 3136/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
56/64 = 56 × 15/64 × 15 = 840/960 - Add the two like fractions:
3136/960 + 840/960 = 3136 + 840/960 = 3976/960 - 3976/960 simplified gives 497/120
- So, 49/15 + 56/64 = 497/120
In mixed form: 417/120
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