Subtract 49/70 from 40/75
40/75 - 49/70 is -1/6.
Steps for subtracting fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 70 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
40/75 = 40 × 14/75 × 14 = 560/1050 - Likewise, for the 2nd fraction, since 70 × 15 = 1050,
49/70 = 49 × 15/70 × 15 = 735/1050 - Subtract the two like fractions:
560/1050 - 735/1050 = 560 - 735/1050 = -175/1050 - After reducing the fraction, the answer is -1/6
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