Compare 20/9 and 84/28
1st number: 2 2/9, 2nd number: 3 0/28
20/9 is smaller than 84/28
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,
20/9 = 20 × 28/9 × 28 = 560/252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,
84/28 = 84 × 9/28 × 9 = 756/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 560/252 < 756/252 or 20/9 < 84/28
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