Compare 40/84 and 28/35
40/84 is smaller than 28/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
28/35 = 28 × 12/35 × 12 = 336/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/420 < 336/420 or 40/84 < 28/35
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 28/35 40/84 and 56/35 40/84 and 28/70 40/84 and 84/35