Compare 9/75 and 21/80
9/75 is smaller than 21/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 80 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
9/75 = 9 × 16/75 × 16 = 144/1200 - Likewise, for the 2nd fraction, since 80 × 15 = 1200,
21/80 = 21 × 15/80 × 15 = 315/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/1200 < 315/1200 or 9/75 < 21/80
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