Compare 12/96 and 48/54
12/96 is smaller than 48/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 54 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 96 × 9 = 864,
12/96 = 12 × 9/96 × 9 = 108/864 - Likewise, for the 2nd fraction, since 54 × 16 = 864,
48/54 = 48 × 16/54 × 16 = 768/864 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/864 < 768/864 or 12/96 < 48/54
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