Compare 10/7 and 45/30
1st number: 1 3/7, 2nd number: 1 15/30
10/7 is smaller than 45/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 7 × 30 = 210,
10/7 = 10 × 30/7 × 30 = 300/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
45/30 = 45 × 7/30 × 7 = 315/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/210 < 315/210 or 10/7 < 45/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/7 and 45/30 10/7 and 90/30 10/14 and 45/30 10/7 and 45/60 30/7 and 45/30 10/21 and 45/30 10/7 and 45/90 50/7 and 45/30 10/35 and 45/30 70/7 and 45/30 10/49 and 45/30