Compare 20/30 and 40/3
1st number: 20/30, 2nd number: 13 1/3
20/30 is smaller than 40/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 3 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 30 × 1 = 30,
20/30 = 20 × 1/30 × 1 = 20/30 - Likewise, for the 2nd fraction, since 3 × 10 = 30,
40/3 = 40 × 10/3 × 10 = 400/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/30 < 400/30 or 20/30 < 40/3
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