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