Compare 6/18 and 12/16
6/18 is smaller than 12/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 18 × 8 = 144,
6/18 = 6 × 8/18 × 8 = 48/144 - 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
- 48/144 < 108/144 or 6/18 < 12/16
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