Subtract 10/40 from 20/49
20/49 - 10/40 is 31/196.
Steps for subtracting fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
20/49 = 20 × 40/49 × 40 = 800/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
10/40 = 10 × 49/40 × 49 = 490/1960 - Subtract the two like fractions:
800/1960 - 490/1960 = 800 - 490/1960 = 310/1960 - After reducing the fraction, the answer is 31/196
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