Compare 20/9 and 49/18
1st number: 2 2/9, 2nd number: 2 13/18
20/9 is smaller than 49/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 18 is 18
Next, find the equivalent fraction of both fractional numbers with denominator 18 - For the 1st fraction, since 9 × 2 = 18,
20/9 = 20 × 2/9 × 2 = 40/18 - Likewise, for the 2nd fraction, since 18 × 1 = 18,
49/18 = 49 × 1/18 × 1 = 49/18 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/18 < 49/18 or 20/9 < 49/18
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