Compare 42/75 and 40/54
42/75 is smaller than 40/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 54 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 75 × 18 = 1350,
42/75 = 42 × 18/75 × 18 = 756/1350 - Likewise, for the 2nd fraction, since 54 × 25 = 1350,
40/54 = 40 × 25/54 × 25 = 1000/1350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 756/1350 < 1000/1350 or 42/75 < 40/54
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/75 and 40/54 42/75 and 80/54