Add 75/64 and 40/42
1st number: 1 11/64, 2nd number: 40/42
75/64 + 40/42 is 2855/1344.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 42 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 64 × 21 = 1344,
75/64 = 75 × 21/64 × 21 = 1575/1344 - Likewise, for the 2nd fraction, since 42 × 32 = 1344,
40/42 = 40 × 32/42 × 32 = 1280/1344 - Add the two like fractions:
1575/1344 + 1280/1344 = 1575 + 1280/1344 = 2855/1344 - So, 75/64 + 40/42 = 2855/1344
In mixed form: 2167/1344
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