Compare 42/75 and 20/32
42/75 is smaller than 20/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 32 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 75 × 32 = 2400,
42/75 = 42 × 32/75 × 32 = 1344/2400 - Likewise, for the 2nd fraction, since 32 × 75 = 2400,
20/32 = 20 × 75/32 × 75 = 1500/2400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1344/2400 < 1500/2400 or 42/75 < 20/32
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/75 and 20/32 42/75 and 40/32 42/75 and 20/64 42/75 and 60/32 42/75 and 20/96