Compare 16/45 and 10/21
16/45 is smaller than 10/21
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,
16/45 = 16 × 7/45 × 7 = 112/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
10/21 = 10 × 15/21 × 15 = 150/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/315 < 150/315 or 16/45 < 10/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/45 and 10/21 16/45 and 20/21 16/90 and 10/21 16/45 and 10/42 48/45 and 10/21 16/45 and 30/21 16/45 and 10/63 80/45 and 10/21 16/45 and 50/21 16/45 and 70/21