Compare 3/7 and 32/60
3/7 is smaller than 32/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 60 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 7 × 60 = 420,
3/7 = 3 × 60/7 × 60 = 180/420 - Likewise, for the 2nd fraction, since 60 × 7 = 420,
32/60 = 32 × 7/60 × 7 = 224/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/420 < 224/420 or 3/7 < 32/60
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