Compare 10/21 and 15/84
10/21 is greater than 15/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 21 × 4 = 84,
10/21 = 10 × 4/21 × 4 = 40/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
15/84 = 15 × 1/84 × 1 = 15/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/84 > 15/84 or 10/21 > 15/84
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