Compare 15/28 and 20/9
1st number: 15/28, 2nd number: 2 2/9
15/28 is smaller than 20/9
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,
15/28 = 15 × 9/28 × 9 = 135/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
20/9 = 20 × 28/9 × 28 = 560/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/252 < 560/252 or 15/28 < 20/9
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