Compare 56/45 and 75/30
1st number: 1 11/45, 2nd number: 2 15/30
56/45 is smaller than 75/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 30 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
56/45 = 56 × 2/45 × 2 = 112/90 - Likewise, for the 2nd fraction, since 30 × 3 = 90,
75/30 = 75 × 3/30 × 3 = 225/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/90 < 225/90 or 56/45 < 75/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/90 and 75/30 56/45 and 75/60 56/45 and 75/90