Compare 20/30 and 21/9
1st number: 20/30, 2nd number: 2 3/9
20/30 is smaller than 21/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
20/30 = 20 × 3/30 × 3 = 60/90 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
21/9 = 21 × 10/9 × 10 = 210/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/90 < 210/90 or 20/30 < 21/9
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