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