Compare 20/30 and 9/40
20/30 is greater than 9/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
20/30 = 20 × 4/30 × 4 = 80/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
9/40 = 9 × 3/40 × 3 = 27/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/120 > 27/120 or 20/30 > 9/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/30 and 9/40 20/30 and 18/40 20/60 and 9/40 20/30 and 9/80 60/30 and 9/40 20/30 and 27/40 20/90 and 9/40 20/30 and 45/40 20/30 and 63/40