Compare 3/84 and 15/24
3/84 is smaller than 15/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 84 × 2 = 168,
3/84 = 3 × 2/84 × 2 = 6/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
15/24 = 15 × 7/24 × 7 = 105/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/168 < 105/168 or 3/84 < 15/24
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