Compare 9/28 and 56/9
1st number: 9/28, 2nd number: 6 2/9
9/28 is smaller than 56/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 28 × 9 = 252,
9/28 = 9 × 9/28 × 9 = 81/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
56/9 = 56 × 28/9 × 28 = 1568/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/252 < 1568/252 or 9/28 < 56/9
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