Compare 3/84 and 56/24
1st number: 3/84, 2nd number: 2 8/24
3/84 is smaller than 56/24
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,
56/24 = 56 × 7/24 × 7 = 392/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/168 < 392/168 or 3/84 < 56/24
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