Compare 8/12 and 56/21
1st number: 8/12, 2nd number: 2 14/21
8/12 is smaller than 56/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
8/12 = 8 × 7/12 × 7 = 56/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
56/21 = 56 × 4/21 × 4 = 224/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/84 < 224/84 or 8/12 < 56/21
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