Compare 75/45 and 40/12
1st number: 1 30/45, 2nd number: 3 4/12
75/45 is smaller than 40/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 12 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
75/45 = 75 × 4/45 × 4 = 300/180 - Likewise, for the 2nd fraction, since 12 × 15 = 180,
40/12 = 40 × 15/12 × 15 = 600/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/180 < 600/180 or 75/45 < 40/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/45 and 80/12 75/90 and 40/12 75/45 and 40/24 75/45 and 40/36 75/45 and 40/60 75/45 and 40/84