Subtract 30/35 from 40/75
40/75 - 30/35 is -34/105.
Steps for subtracting fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 35 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
40/75 = 40 × 7/75 × 7 = 280/525 - Likewise, for the 2nd fraction, since 35 × 15 = 525,
30/35 = 30 × 15/35 × 15 = 450/525 - Subtract the two like fractions:
280/525 - 450/525 = 280 - 450/525 = -170/525 - After reducing the fraction, the answer is -34/105
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