Compare 9/36 and 8/27
9/36 is smaller than 8/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 36 × 3 = 108,
9/36 = 9 × 3/36 × 3 = 27/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
8/27 = 8 × 4/27 × 4 = 32/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/108 < 32/108 or 9/36 < 8/27
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