Compare 3/27 and 42/60
3/27 is smaller than 42/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 60 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 27 × 20 = 540,
3/27 = 3 × 20/27 × 20 = 60/540 - Likewise, for the 2nd fraction, since 60 × 9 = 540,
42/60 = 42 × 9/60 × 9 = 378/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/540 < 378/540 or 3/27 < 42/60
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/27 and 42/60 3/27 and 84/60 3/54 and 42/60 9/27 and 42/60 3/81 and 42/60 15/27 and 42/60 21/27 and 42/60