Compare 42/30 and 20/3
1st number: 1 12/30, 2nd number: 6 2/3
42/30 is smaller than 20/3
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,
42/30 = 42 × 1/30 × 1 = 42/30 - Likewise, for the 2nd fraction, since 3 × 10 = 30,
20/3 = 20 × 10/3 × 10 = 200/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/30 < 200/30 or 42/30 < 20/3
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