Compare 10/75 and 20/90
10/75 is smaller than 20/90
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,
10/75 = 10 × 6/75 × 6 = 60/450 - Likewise, for the 2nd fraction, since 90 × 5 = 450,
20/90 = 20 × 5/90 × 5 = 100/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/450 < 100/450 or 10/75 < 20/90
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