Compare 28/9 and 49/28
1st number: 3 1/9, 2nd number: 1 21/28
28/9 is greater than 49/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 28 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
28/9 = 28 × 28/9 × 28 = 784/252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,
49/28 = 49 × 9/28 × 9 = 441/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 784/252 > 441/252 or 28/9 > 49/28
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