Compare 9/36 and 10/21
9/36 is smaller than 10/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 21 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
9/36 = 9 × 7/36 × 7 = 63/252 - Likewise, for the 2nd fraction, since 21 × 12 = 252,
10/21 = 10 × 12/21 × 12 = 120/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/252 < 120/252 or 9/36 < 10/21
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