Compare 2/20 and 4/9
2/20 is smaller than 4/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 9 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 20 × 9 = 180,
2/20 = 2 × 9/20 × 9 = 18/180 - Likewise, for the 2nd fraction, since 9 × 20 = 180,
4/9 = 4 × 20/9 × 20 = 80/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/180 < 80/180 or 2/20 < 4/9
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