Compare 3/20 and 12/30
3/20 is smaller than 12/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 30 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 20 × 3 = 60,
3/20 = 3 × 3/20 × 3 = 9/60 - Likewise, for the 2nd fraction, since 30 × 2 = 60,
12/30 = 12 × 2/30 × 2 = 24/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/60 < 24/60 or 3/20 < 12/30
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