Compare 40/60 and 30/84
40/60 is greater than 30/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 60 × 7 = 420,
40/60 = 40 × 7/60 × 7 = 280/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/420 > 150/420 or 40/60 > 30/84
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/60 and 30/84 40/60 and 60/84 40/60 and 90/84