Compare 40/84 and 75/56
1st number: 40/84, 2nd number: 1 19/56
40/84 is smaller than 75/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 56 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 84 × 2 = 168,
40/84 = 40 × 2/84 × 2 = 80/168 - Likewise, for the 2nd fraction, since 56 × 3 = 168,
75/56 = 75 × 3/56 × 3 = 225/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/168 < 225/168 or 40/84 < 75/56
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 75/56