Compare 20/9 and 45/14
1st number: 2 2/9, 2nd number: 3 3/14
20/9 is smaller than 45/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
20/9 = 20 × 14/9 × 14 = 280/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
45/14 = 45 × 9/14 × 9 = 405/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/126 < 405/126 or 20/9 < 45/14
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