Compare 8/24 and 20/45
8/24 is smaller than 20/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 24 × 15 = 360,
8/24 = 8 × 15/24 × 15 = 120/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
20/45 = 20 × 8/45 × 8 = 160/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/360 < 160/360 or 8/24 < 20/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/24 and 20/45 8/24 and 40/45 8/48 and 20/45 8/24 and 20/90 8/24 and 60/45 8/72 and 20/45 40/24 and 20/45 56/24 and 20/45