Compare 10/30 and 8/21
10/30 is smaller than 8/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 21 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
10/30 = 10 × 7/30 × 7 = 70/210 - Likewise, for the 2nd fraction, since 21 × 10 = 210,
8/21 = 8 × 10/21 × 10 = 80/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/210 < 80/210 or 10/30 < 8/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/30 and 8/21 10/30 and 16/21 10/60 and 8/21 10/30 and 8/42 10/30 and 24/21 10/90 and 8/21 10/30 and 8/63 50/30 and 8/21 10/30 and 40/21 70/30 and 8/21 10/30 and 56/21