Compare 30/40 and 3/14
30/40 is greater than 3/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
3/14 = 3 × 20/14 × 20 = 60/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/280 > 60/280 or 30/40 > 3/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/40 and 3/14 30/40 and 6/14 30/80 and 3/14 30/40 and 3/28 90/40 and 3/14 30/40 and 9/14 30/40 and 3/42 30/40 and 15/14 30/40 and 3/70 30/40 and 21/14 30/40 and 3/98