Compare 2/7 and 30/56
2/7 is smaller than 30/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 56 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 7 × 8 = 56,
2/7 = 2 × 8/7 × 8 = 16/56 - Likewise, for the 2nd fraction, since 56 × 1 = 56,
30/56 = 30 × 1/56 × 1 = 30/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/56 < 30/56 or 2/7 < 30/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 4/7 and 30/56 2/7 and 60/56 2/14 and 30/56 6/7 and 30/56 2/7 and 90/56 2/21 and 30/56 10/7 and 30/56 2/35 and 30/56 14/7 and 30/56 2/49 and 30/56