Compare 12/25 and 18/30
12/25 is smaller than 18/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 30 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 25 × 6 = 150,
12/25 = 12 × 6/25 × 6 = 72/150 - Likewise, for the 2nd fraction, since 30 × 5 = 150,
18/30 = 18 × 5/30 × 5 = 90/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/150 < 90/150 or 12/25 < 18/30
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