Compare 3/21 and 14/36
3/21 is smaller than 14/36
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,
3/21 = 3 × 12/21 × 12 = 36/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
14/36 = 14 × 7/36 × 7 = 98/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/252 < 98/252 or 3/21 < 14/36
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