Compare 4/75 and 12/90
4/75 is smaller than 12/90
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,
4/75 = 4 × 6/75 × 6 = 24/450 - Likewise, for the 2nd fraction, since 90 × 5 = 450,
12/90 = 12 × 5/90 × 5 = 60/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/450 < 60/450 or 4/75 < 12/90
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