Compare 6/2 and 56/7
1st number: 3 0/2, 2nd number: 8 0/7
6/2 is smaller than 56/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 7 is 14
Next, find the equivalent fraction of both fractional numbers with denominator 14 - For the 1st fraction, since 2 × 7 = 14,
6/2 = 6 × 7/2 × 7 = 42/14 - Likewise, for the 2nd fraction, since 7 × 2 = 14,
56/7 = 56 × 2/7 × 2 = 112/14 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/14 < 112/14 or 6/2 < 56/7
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