Compare 1/30 and 75/20
1st number: 1/30, 2nd number: 3 15/20
1/30 is smaller than 75/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 20 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 30 × 2 = 60,
1/30 = 1 × 2/30 × 2 = 2/60 - Likewise, for the 2nd fraction, since 20 × 3 = 60,
75/20 = 75 × 3/20 × 3 = 225/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2/60 < 225/60 or 1/30 < 75/20
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