Compare 9/30 and 40/36
1st number: 9/30, 2nd number: 1 4/36
9/30 is smaller than 40/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 36 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 30 × 6 = 180,
9/30 = 9 × 6/30 × 6 = 54/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
40/36 = 40 × 5/36 × 5 = 200/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/180 < 200/180 or 9/30 < 40/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/30 and 40/36 9/30 and 80/36 9/60 and 40/36 9/30 and 40/72 27/30 and 40/36 9/90 and 40/36 45/30 and 40/36 63/30 and 40/36