Compare 9/32 and 54/75
9/32 is smaller than 54/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 75 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 32 × 75 = 2400,
9/32 = 9 × 75/32 × 75 = 675/2400 - Likewise, for the 2nd fraction, since 75 × 32 = 2400,
54/75 = 54 × 32/75 × 32 = 1728/2400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/2400 < 1728/2400 or 9/32 < 54/75
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