Compare 10/3 and 30/40
1st number: 3 1/3, 2nd number: 30/40
10/3 is greater than 30/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 3 × 40 = 120,
10/3 = 10 × 40/3 × 40 = 400/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
30/40 = 30 × 3/40 × 3 = 90/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 400/120 > 90/120 or 10/3 > 30/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/3 and 30/40 10/3 and 60/40 10/6 and 30/40 10/3 and 30/80 30/3 and 30/40 10/3 and 90/40 10/9 and 30/40 50/3 and 30/40 10/15 and 30/40 70/3 and 30/40 10/21 and 30/40