Compare 20/40 and 30/45
20/40 is smaller than 30/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
20/40 = 20 × 9/40 × 9 = 180/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
30/45 = 30 × 8/45 × 8 = 240/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/360 < 240/360 or 20/40 < 30/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/40 and 60/45 20/80 and 30/45 20/40 and 30/90 60/40 and 30/45 20/40 and 90/45