Compare 4/56 and 21/75
4/56 is smaller than 21/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 75 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 56 × 75 = 4200,
4/56 = 4 × 75/56 × 75 = 300/4200 - Likewise, for the 2nd fraction, since 75 × 56 = 4200,
21/75 = 21 × 56/75 × 56 = 1176/4200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/4200 < 1176/4200 or 4/56 < 21/75
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/56 and 21/75 4/56 and 42/75 12/56 and 21/75 4/56 and 63/75 20/56 and 21/75 28/56 and 21/75