Compare 27/84 and 49/15
1st number: 27/84, 2nd number: 3 4/15
27/84 is smaller than 49/15
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,
27/84 = 27 × 5/84 × 5 = 135/420 - Likewise, for the 2nd fraction, since 15 × 28 = 420,
49/15 = 49 × 28/15 × 28 = 1372/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/420 < 1372/420 or 27/84 < 49/15
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