Compare 30/50 and 14/40, Which fraction is greater?

Compare 30/50 and 14/40

30/50 is greater than 14/40

Find the least common denominator or LCM of the two denominators:
LCM of 50 and 40 is 200

Next, find the equivalent fraction of both fractional numbers with denominator 200
For the 1st fraction, since 50 × 4 = 200,
30/50 = 30 × 4/50 × 4 = 120/200
Likewise, for the 2nd fraction, since 40 × 5 = 200,
14/40 = 14 × 5/40 × 5 = 70/200
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
120/200 > 70/200 or 30/50 > 14/40

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad