Compare 4/7 and 28/30
4/7 is smaller than 28/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 7 × 30 = 210,
4/7 = 4 × 30/7 × 30 = 120/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
28/30 = 28 × 7/30 × 7 = 196/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/210 < 196/210 or 4/7 < 28/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/7 and 28/30 4/7 and 56/30 4/14 and 28/30 4/7 and 28/60 12/7 and 28/30 4/7 and 84/30 4/21 and 28/30 4/7 and 28/90 20/7 and 28/30 4/35 and 28/30 28/7 and 28/30 4/49 and 28/30