Compare 42/75 and 63/90
42/75 is smaller than 63/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 90 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 75 × 6 = 450,
42/75 = 42 × 6/75 × 6 = 252/450 - Likewise, for the 2nd fraction, since 90 × 5 = 450,
63/90 = 63 × 5/90 × 5 = 315/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 252/450 < 315/450 or 42/75 < 63/90
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