Compare 20/45 and 27/30
20/45 is smaller than 27/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 30 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
20/45 = 20 × 2/45 × 2 = 40/90 - Likewise, for the 2nd fraction, since 30 × 3 = 90,
27/30 = 27 × 3/30 × 3 = 81/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/90 < 81/90 or 20/45 < 27/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/45 and 27/30 20/45 and 54/30 20/90 and 27/30 20/45 and 27/60 60/45 and 27/30 20/45 and 81/30 20/45 and 27/90