Compare 2/9 and 9/20
2/9 is smaller than 9/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 20 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 9 × 20 = 180,
2/9 = 2 × 20/9 × 20 = 40/180 - Likewise, for the 2nd fraction, since 20 × 9 = 180,
9/20 = 9 × 9/20 × 9 = 81/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/180 < 81/180 or 2/9 < 9/20
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