Compare 2/54 and 10/32
2/54 is smaller than 10/32
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,
2/54 = 2 × 16/54 × 16 = 32/864 - Likewise, for the 2nd fraction, since 32 × 27 = 864,
10/32 = 10 × 27/32 × 27 = 270/864 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/864 < 270/864 or 2/54 < 10/32
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