Compare 30/18 and 45/12
1st number: 1 12/18, 2nd number: 3 9/12
30/18 is smaller than 45/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 12 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 18 × 2 = 36,
30/18 = 30 × 2/18 × 2 = 60/36 - Likewise, for the 2nd fraction, since 12 × 3 = 36,
45/12 = 45 × 3/12 × 3 = 135/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/36 < 135/36 or 30/18 < 45/12
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