Compare 8/96 and 8/27
8/96 is smaller than 8/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 27 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 96 × 9 = 864,
8/96 = 8 × 9/96 × 9 = 72/864 - Likewise, for the 2nd fraction, since 27 × 32 = 864,
8/27 = 8 × 32/27 × 32 = 256/864 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/864 < 256/864 or 8/96 < 8/27
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