Compare 1/54 and 21/32
1/54 is smaller than 21/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 32 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 54 × 16 = 864,
1/54 = 1 × 16/54 × 16 = 16/864 - Likewise, for the 2nd fraction, since 32 × 27 = 864,
21/32 = 21 × 27/32 × 27 = 567/864 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/864 < 567/864 or 1/54 < 21/32
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