Compare 3/7 and 21/24
3/7 is smaller than 21/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 7 × 24 = 168,
3/7 = 3 × 24/7 × 24 = 72/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
21/24 = 21 × 7/24 × 7 = 147/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/168 < 147/168 or 3/7 < 21/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/7 and 21/24 3/7 and 42/24 3/14 and 21/24 3/7 and 21/48 9/7 and 21/24 3/7 and 63/24 3/21 and 21/24 3/7 and 21/72 15/7 and 21/24 3/35 and 21/24 21/7 and 21/24 3/49 and 21/24