Compare 40/30 and 15/12
1st number: 1 10/30, 2nd number: 1 3/12
40/30 is greater than 15/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 12 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 30 × 2 = 60,
40/30 = 40 × 2/30 × 2 = 80/60 - Likewise, for the 2nd fraction, since 12 × 5 = 60,
15/12 = 15 × 5/12 × 5 = 75/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/60 > 75/60 or 40/30 > 15/12
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