Compare 1/14 and 30/40
1/14 is smaller than 30/40
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,
1/14 = 1 × 20/14 × 20 = 20/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/280 < 210/280 or 1/14 < 30/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/14 and 30/40 1/14 and 60/40 1/28 and 30/40 1/14 and 30/80 3/14 and 30/40 1/14 and 90/40 1/42 and 30/40 5/14 and 30/40 1/70 and 30/40 7/14 and 30/40 1/98 and 30/40