Compare 7/8 and 20/21
7/8 is smaller than 20/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
7/8 = 7 × 21/8 × 21 = 147/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
20/21 = 20 × 8/21 × 8 = 160/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/168 < 160/168 or 7/8 < 20/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/8 and 20/21 7/8 and 40/21 7/16 and 20/21 7/8 and 20/42 21/8 and 20/21 7/8 and 60/21 7/24 and 20/21 7/8 and 20/63 35/8 and 20/21 7/40 and 20/21 49/8 and 20/21 7/56 and 20/21