Compare 8/20 and 10/21
8/20 is smaller than 10/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 21 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
8/20 = 8 × 21/20 × 21 = 168/420 - Likewise, for the 2nd fraction, since 21 × 20 = 420,
10/21 = 10 × 20/21 × 20 = 200/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/420 < 200/420 or 8/20 < 10/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/20 and 10/21 8/20 and 20/21 8/40 and 10/21 8/20 and 10/42 24/20 and 10/21 8/20 and 30/21 8/60 and 10/21 8/20 and 10/63 40/20 and 10/21 8/20 and 50/21 56/20 and 10/21 8/20 and 70/21