Compare 10/30 and 18/42
10/30 is smaller than 18/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
10/30 = 10 × 7/30 × 7 = 70/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
18/42 = 18 × 5/42 × 5 = 90/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/210 < 90/210 or 10/30 < 18/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/30 and 18/42 10/30 and 36/42 10/60 and 18/42 10/30 and 18/84 10/30 and 54/42 10/90 and 18/42 50/30 and 18/42 10/30 and 90/42 70/30 and 18/42