Compare 8/24 and 40/75
8/24 is smaller than 40/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 24 × 25 = 600,
8/24 = 8 × 25/24 × 25 = 200/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
40/75 = 40 × 8/75 × 8 = 320/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/600 < 320/600 or 8/24 < 40/75
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/24 and 40/75 8/24 and 80/75 8/48 and 40/75 8/72 and 40/75 40/24 and 40/75 56/24 and 40/75