Compare 40/84 and 8/9
40/84 is smaller than 8/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
40/84 = 40 × 3/84 × 3 = 120/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
8/9 = 8 × 28/9 × 28 = 224/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/252 < 224/252 or 40/84 < 8/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/84 and 8/9 40/84 and 16/9 40/84 and 8/18 40/84 and 24/9 40/84 and 8/27 40/84 and 40/9 40/84 and 8/45 40/84 and 56/9 40/84 and 8/63