Compare 40/7 and 30/27
1st number: 5 5/7, 2nd number: 1 3/27
40/7 is greater than 30/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 7 × 27 = 189,
40/7 = 40 × 27/7 × 27 = 1080/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
30/27 = 30 × 7/27 × 7 = 210/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1080/189 > 210/189 or 40/7 > 30/27
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/7 and 30/27 40/7 and 60/27 40/14 and 30/27 40/7 and 30/54 40/7 and 90/27 40/21 and 30/27 40/7 and 30/81 40/35 and 30/27 40/49 and 30/27