Compare 8/21 and 30/45
8/21 is smaller than 30/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
8/21 = 8 × 15/21 × 15 = 120/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
30/45 = 30 × 7/45 × 7 = 210/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/315 < 210/315 or 8/21 < 30/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/21 and 30/45 8/21 and 60/45 8/42 and 30/45 8/21 and 30/90 24/21 and 30/45 8/21 and 90/45 8/63 and 30/45 40/21 and 30/45 56/21 and 30/45