Compare 1/30 and 45/42
1st number: 1/30, 2nd number: 1 3/42
1/30 is smaller than 45/42
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,
1/30 = 1 × 7/30 × 7 = 7/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
45/42 = 45 × 5/42 × 5 = 225/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/210 < 225/210 or 1/30 < 45/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/30 and 45/42 1/30 and 90/42 1/60 and 45/42 1/30 and 45/84 3/30 and 45/42 1/90 and 45/42 5/30 and 45/42 7/30 and 45/42