Compare 1/9 and 40/84
1/9 is smaller than 40/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
1/9 = 1 × 28/9 × 28 = 28/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
40/84 = 40 × 3/84 × 3 = 120/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/252 < 120/252 or 1/9 < 40/84
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/9 and 40/84 1/9 and 80/84 1/18 and 40/84 3/9 and 40/84 1/27 and 40/84 5/9 and 40/84 1/45 and 40/84 7/9 and 40/84 1/63 and 40/84