Compare 3/45 and 18/21
3/45 is smaller than 18/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
3/45 = 3 × 7/45 × 7 = 21/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
18/21 = 18 × 15/21 × 15 = 270/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/315 < 270/315 or 3/45 < 18/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/45 and 18/21 3/45 and 36/21 3/90 and 18/21 3/45 and 18/42 9/45 and 18/21 3/45 and 54/21 3/45 and 18/63 15/45 and 18/21 3/45 and 90/21 21/45 and 18/21