Compare 10/75 and 70/81
10/75 is smaller than 70/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 81 is 2025
Next, find the equivalent fraction of both fractional numbers with denominator 2025 - For the 1st fraction, since 75 × 27 = 2025,
10/75 = 10 × 27/75 × 27 = 270/2025 - Likewise, for the 2nd fraction, since 81 × 25 = 2025,
70/81 = 70 × 25/81 × 25 = 1750/2025 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/2025 < 1750/2025 or 10/75 < 70/81
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 70/81 30/75 and 70/81 50/75 and 70/81 70/75 and 70/81