Compare 8/36 and 12/16
8/36 is smaller than 12/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 36 × 4 = 144,
8/36 = 8 × 4/36 × 4 = 32/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
12/16 = 12 × 9/16 × 9 = 108/144 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/144 < 108/144 or 8/36 < 12/16
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