Compare 75/4 and 40/9
1st number: 18 3/4, 2nd number: 4 4/9
75/4 is greater than 40/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 4 × 9 = 36,
75/4 = 75 × 9/4 × 9 = 675/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
40/9 = 40 × 4/9 × 4 = 160/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/36 > 160/36 or 75/4 > 40/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/4 and 80/9 75/8 and 40/9 75/4 and 40/18 75/12 and 40/9 75/4 and 40/27 75/20 and 40/9 75/4 and 40/45 75/28 and 40/9 75/4 and 40/63