Compare 27/2 and 28/49
1st number: 13 1/2, 2nd number: 28/49
27/2 is greater than 28/49
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,
27/2 = 27 × 49/2 × 49 = 1323/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
28/49 = 28 × 2/49 × 2 = 56/98 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1323/98 > 56/98 or 27/2 > 28/49
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