Compare 30/60 and 45/75
30/60 is smaller than 45/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 60 × 5 = 300,
30/60 = 30 × 5/60 × 5 = 150/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
45/75 = 45 × 4/75 × 4 = 180/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/300 < 180/300 or 30/60 < 45/75
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 30/60 and 90/75 90/60 and 45/75