Compare 9/75 and 40/90
9/75 is smaller than 40/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 90 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 75 × 6 = 450,
9/75 = 9 × 6/75 × 6 = 54/450 - Likewise, for the 2nd fraction, since 90 × 5 = 450,
40/90 = 40 × 5/90 × 5 = 200/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/450 < 200/450 or 9/75 < 40/90
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/75 and 40/90 9/75 and 80/90 27/75 and 40/90 45/75 and 40/90 63/75 and 40/90