Compare 14/30 and 40/54
14/30 is smaller than 40/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
14/30 = 14 × 9/30 × 9 = 126/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
40/54 = 40 × 5/54 × 5 = 200/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/270 < 200/270 or 14/30 < 40/54
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/30 and 40/54 14/30 and 80/54 14/60 and 40/54 42/30 and 40/54 14/90 and 40/54 70/30 and 40/54 98/30 and 40/54