Compare 30/75 and 30/7
1st number: 30/75, 2nd number: 4 2/7
30/75 is smaller than 30/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 7 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
30/75 = 30 × 7/75 × 7 = 210/525 - Likewise, for the 2nd fraction, since 7 × 75 = 525,
30/7 = 30 × 75/7 × 75 = 2250/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/525 < 2250/525 or 30/75 < 30/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/75 and 30/7 30/75 and 60/7 30/75 and 30/14 90/75 and 30/7 30/75 and 90/7 30/75 and 30/21 30/75 and 30/35 30/75 and 30/49