Compare 8/32 and 24/54
8/32 is smaller than 24/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 54 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 32 × 27 = 864,
8/32 = 8 × 27/32 × 27 = 216/864 - Likewise, for the 2nd fraction, since 54 × 16 = 864,
24/54 = 24 × 16/54 × 16 = 384/864 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 216/864 < 384/864 or 8/32 < 24/54
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