Compare 40/75 and 42/48
40/75 is smaller than 42/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 48 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
40/75 = 40 × 16/75 × 16 = 640/1200 - Likewise, for the 2nd fraction, since 48 × 25 = 1200,
42/48 = 42 × 25/48 × 25 = 1050/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/1200 < 1050/1200 or 40/75 < 42/48
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