Compare 30/12 and 56/7
1st number: 2 6/12, 2nd number: 8 0/7
30/12 is smaller than 56/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 7 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
30/12 = 30 × 7/12 × 7 = 210/84 - Likewise, for the 2nd fraction, since 7 × 12 = 84,
56/7 = 56 × 12/7 × 12 = 672/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/84 < 672/84 or 30/12 < 56/7
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