Compare 12/96 and 16/18
12/96 is smaller than 16/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 18 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 96 × 3 = 288,
12/96 = 12 × 3/96 × 3 = 36/288 - Likewise, for the 2nd fraction, since 18 × 16 = 288,
16/18 = 16 × 16/18 × 16 = 256/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/288 < 256/288 or 12/96 < 16/18
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