Compare 8/40 and 12/75
8/40 is greater than 12/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 40 × 15 = 600,
8/40 = 8 × 15/40 × 15 = 120/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
12/75 = 12 × 8/75 × 8 = 96/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/600 > 96/600 or 8/40 > 12/75
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/40 and 12/75 8/40 and 24/75 8/80 and 12/75 24/40 and 12/75 8/40 and 36/75 8/40 and 60/75 56/40 and 12/75 8/40 and 84/75