Compare 20/9 and 30/20
1st number: 2 2/9, 2nd number: 1 10/20
20/9 is greater than 30/20
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,
20/9 = 20 × 20/9 × 20 = 400/180 - Likewise, for the 2nd fraction, since 20 × 9 = 180,
30/20 = 30 × 9/20 × 9 = 270/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 400/180 > 270/180 or 20/9 > 30/20
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