Compare 7/2 and 56/49
1st number: 3 1/2, 2nd number: 1 7/49
7/2 is greater than 56/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 49 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 2 × 49 = 98,
7/2 = 7 × 49/2 × 49 = 343/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
56/49 = 56 × 2/49 × 2 = 112/98 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/98 > 112/98 or 7/2 > 56/49
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