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