Compare 9/21 and 16/18
9/21 is smaller than 16/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 21 × 6 = 126,
9/21 = 9 × 6/21 × 6 = 54/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
16/18 = 16 × 7/18 × 7 = 112/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/126 < 112/126 or 9/21 < 16/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/21 and 16/18 9/21 and 32/18 9/42 and 16/18 9/21 and 16/36 27/21 and 16/18 9/21 and 48/18 9/63 and 16/18 9/21 and 16/54 45/21 and 16/18 9/21 and 80/18 9/21 and 16/90 63/21 and 16/18