Compare 8/14 and 15/40
8/14 is greater than 15/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
8/14 = 8 × 20/14 × 20 = 160/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
15/40 = 15 × 7/40 × 7 = 105/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/280 > 105/280 or 8/14 > 15/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/14 and 15/40 8/14 and 30/40 8/28 and 15/40 8/14 and 15/80 24/14 and 15/40 8/14 and 45/40 8/42 and 15/40 40/14 and 15/40 8/14 and 75/40 8/70 and 15/40 56/14 and 15/40 8/98 and 15/40