Subtract 30/40 from 40/49
40/49 - 30/40 is 13/196.
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,
40/49 = 40 × 40/49 × 40 = 1600/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
30/40 = 30 × 49/40 × 49 = 1470/1960 - Subtract the two like fractions:
1600/1960 - 1470/1960 = 1600 - 1470/1960 = 130/1960 - After reducing the fraction, the answer is 13/196
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