Compare 7/20 and 32/75
7/20 is smaller than 32/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 20 × 15 = 300,
7/20 = 7 × 15/20 × 15 = 105/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
32/75 = 32 × 4/75 × 4 = 128/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/300 < 128/300 or 7/20 < 32/75
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/20 and 32/75 7/20 and 64/75 7/40 and 32/75 21/20 and 32/75 7/20 and 96/75 7/60 and 32/75 35/20 and 32/75 49/20 and 32/75