Compare 14/28 and 32/9
1st number: 14/28, 2nd number: 3 5/9
14/28 is smaller than 32/9
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,
14/28 = 14 × 9/28 × 9 = 126/252 - 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
- 126/252 < 896/252 or 14/28 < 32/9
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