Compare 3/60 and 8/14
3/60 is smaller than 8/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 14 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 60 × 7 = 420,
3/60 = 3 × 7/60 × 7 = 21/420 - Likewise, for the 2nd fraction, since 14 × 30 = 420,
8/14 = 8 × 30/14 × 30 = 240/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/420 < 240/420 or 3/60 < 8/14
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