Compare 35/84 and 10/15
35/84 is smaller than 10/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 15 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
35/84 = 35 × 5/84 × 5 = 175/420 - Likewise, for the 2nd fraction, since 15 × 28 = 420,
10/15 = 10 × 28/15 × 28 = 280/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 175/420 < 280/420 or 35/84 < 10/15
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