Compare 12/21 and 9/36
12/21 is greater than 9/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 36 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 21 × 12 = 252,
12/21 = 12 × 12/21 × 12 = 144/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
9/36 = 9 × 7/36 × 7 = 63/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/252 > 63/252 or 12/21 > 9/36
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