Compare 1/5 and 30/84
1/5 is smaller than 30/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 5 × 84 = 420,
1/5 = 1 × 84/5 × 84 = 84/420 - 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
- 84/420 < 150/420 or 1/5 < 30/84
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/5 and 30/84 1/5 and 60/84 1/10 and 30/84 3/5 and 30/84 1/5 and 90/84 1/15 and 30/84 1/25 and 30/84 7/5 and 30/84 1/35 and 30/84