Compare 10/75 and 18/40
10/75 is smaller than 18/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
10/75 = 10 × 8/75 × 8 = 80/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
18/40 = 18 × 15/40 × 15 = 270/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/600 < 270/600 or 10/75 < 18/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/75 and 18/40 10/75 and 36/40 10/75 and 18/80 30/75 and 18/40 10/75 and 54/40 50/75 and 18/40 10/75 and 90/40 70/75 and 18/40