Compare 10/75 and 42/96
10/75 is smaller than 42/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 96 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 75 × 32 = 2400,
10/75 = 10 × 32/75 × 32 = 320/2400 - Likewise, for the 2nd fraction, since 96 × 25 = 2400,
42/96 = 42 × 25/96 × 25 = 1050/2400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/2400 < 1050/2400 or 10/75 < 42/96
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/75 and 42/96 10/75 and 84/96 30/75 and 42/96 50/75 and 42/96 70/75 and 42/96