Add 10/75 and 27/64
10/75 + 27/64 is 533/960.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 64 is 4800
Next, find the equivalent fraction of both fractional numbers with denominator 4800 - For the 1st fraction, since 75 × 64 = 4800,
10/75 = 10 × 64/75 × 64 = 640/4800 - Likewise, for the 2nd fraction, since 64 × 75 = 4800,
27/64 = 27 × 75/64 × 75 = 2025/4800 - Add the two like fractions:
640/4800 + 2025/4800 = 640 + 2025/4800 = 2665/4800 - 2665/4800 simplified gives 533/960
- So, 10/75 + 27/64 = 533/960
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