Add 40/60 and 30/64
40/60 + 30/64 is 109/96.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 64 is 960
Next, find the equivalent fraction of both fractional numbers with denominator 960 - For the 1st fraction, since 60 × 16 = 960,
40/60 = 40 × 16/60 × 16 = 640/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
30/64 = 30 × 15/64 × 15 = 450/960 - Add the two like fractions:
640/960 + 450/960 = 640 + 450/960 = 1090/960 - 1090/960 simplified gives 109/96
- So, 40/60 + 30/64 = 109/96
In mixed form: 113/96
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