Compare 4/14 and 32/60
4/14 is smaller than 32/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 60 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 14 × 30 = 420,
4/14 = 4 × 30/14 × 30 = 120/420 - 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
- 120/420 < 224/420 or 4/14 < 32/60
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