Compare 3/75 and 32/60
3/75 is smaller than 32/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 60 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
3/75 = 3 × 4/75 × 4 = 12/300 - Likewise, for the 2nd fraction, since 60 × 5 = 300,
32/60 = 32 × 5/60 × 5 = 160/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 12/300 < 160/300 or 3/75 < 32/60
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