Subtract 14/64 from 30/49
30/49 - 14/64 is 617/1568.
Steps for subtracting fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 64 is 3136
Next, find the equivalent fraction of both fractional numbers with denominator 3136 - For the 1st fraction, since 49 × 64 = 3136,
30/49 = 30 × 64/49 × 64 = 1920/3136 - Likewise, for the 2nd fraction, since 64 × 49 = 3136,
14/64 = 14 × 49/64 × 49 = 686/3136 - Subtract the two like fractions:
1920/3136 - 686/3136 = 1920 - 686/3136 = 1234/3136 - After reducing the fraction, the answer is 617/1568
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