Compare 4/7 and 49/54
4/7 is smaller than 49/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 7 × 54 = 378,
4/7 = 4 × 54/7 × 54 = 216/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
49/54 = 49 × 7/54 × 7 = 343/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 216/378 < 343/378 or 4/7 < 49/54
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 49/54 4/7 and 98/54 4/14 and 49/54 12/7 and 49/54 4/21 and 49/54 20/7 and 49/54 4/35 and 49/54 28/7 and 49/54 4/49 and 49/54