Compare 10/60 and 27/84
10/60 is smaller than 27/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 60 × 7 = 420,
10/60 = 10 × 7/60 × 7 = 70/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
27/84 = 27 × 5/84 × 5 = 135/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/420 < 135/420 or 10/60 < 27/84
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