Compare 10/84 and 32/9
1st number: 10/84, 2nd number: 3 5/9
10/84 is smaller than 32/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
10/84 = 10 × 3/84 × 3 = 30/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
32/9 = 32 × 28/9 × 28 = 896/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/252 < 896/252 or 10/84 < 32/9
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