Compare 35/84 and 42/81
35/84 is smaller than 42/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 81 is 2268
Next, find the equivalent fraction of both fractional numbers with denominator 2268 - For the 1st fraction, since 84 × 27 = 2268,
35/84 = 35 × 27/84 × 27 = 945/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
42/81 = 42 × 28/81 × 28 = 1176/2268 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 945/2268 < 1176/2268 or 35/84 < 42/81
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/84 and 42/81 35/84 and 84/81