Compare 20/18 and 30/20
1st number: 1 2/18, 2nd number: 1 10/20
20/18 is smaller than 30/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 20 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 18 × 10 = 180,
20/18 = 20 × 10/18 × 10 = 200/180 - 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
- 200/180 < 270/180 or 20/18 < 30/20
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