Compare 35/42 and 30/75
35/42 is greater than 30/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
35/42 = 35 × 25/42 × 25 = 875/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
30/75 = 30 × 14/75 × 14 = 420/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 875/1050 > 420/1050 or 35/42 > 30/75
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/42 and 30/75 35/42 and 60/75 35/84 and 30/75 35/42 and 90/75