Subtract 30/42 from 40/75
40/75 - 30/42 is -19/105.
Steps for subtracting fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 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 42 × 25 = 1050,
30/42 = 30 × 25/42 × 25 = 750/1050 - Subtract the two like fractions:
560/1050 - 750/1050 = 560 - 750/1050 = -190/1050 - After reducing the fraction, the answer is -19/105
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