Compare 27/32 and 54/60
27/32 is smaller than 54/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 60 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 32 × 15 = 480,
27/32 = 27 × 15/32 × 15 = 405/480 - Likewise, for the 2nd fraction, since 60 × 8 = 480,
54/60 = 54 × 8/60 × 8 = 432/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 405/480 < 432/480 or 27/32 < 54/60
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