Compare 3/10 and 42/75
3/10 is smaller than 42/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 10 × 15 = 150,
3/10 = 3 × 15/10 × 15 = 45/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
42/75 = 42 × 2/75 × 2 = 84/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/150 < 84/150 or 3/10 < 42/75
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/10 and 42/75 3/10 and 84/75 3/20 and 42/75 9/10 and 42/75 3/30 and 42/75 15/10 and 42/75 3/50 and 42/75 21/10 and 42/75 3/70 and 42/75