Compare 2/36 and 9/84
2/36 is smaller than 9/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
2/36 = 2 × 7/36 × 7 = 14/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
9/84 = 9 × 3/84 × 3 = 27/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 14/252 < 27/252 or 2/36 < 9/84
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