Compare 42/75 and 28/40
42/75 is smaller than 28/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
42/75 = 42 × 8/75 × 8 = 336/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
28/40 = 28 × 15/40 × 15 = 420/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 336/600 < 420/600 or 42/75 < 28/40
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