Subtract 1/64 from 40/75
40/75 - 1/64 is 497/960.
Steps for subtracting 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,
40/75 = 40 × 64/75 × 64 = 2560/4800 - Likewise, for the 2nd fraction, since 64 × 75 = 4800,
1/64 = 1 × 75/64 × 75 = 75/4800 - Subtract the two like fractions:
2560/4800 - 75/4800 = 2560 - 75/4800 = 2485/4800 - After reducing the fraction, the answer is 497/960
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