Compare 18/42 and 30/54
18/42 is smaller than 30/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
18/42 = 18 × 9/42 × 9 = 162/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
30/54 = 30 × 7/54 × 7 = 210/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/378 < 210/378 or 18/42 < 30/54
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/42 and 30/54 18/42 and 60/54 18/84 and 30/54 54/42 and 30/54 18/42 and 90/54 90/42 and 30/54