Compare 30/56 and 10/40
30/56 is greater than 10/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 56 × 5 = 280,
30/56 = 30 × 5/56 × 5 = 150/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
10/40 = 10 × 7/40 × 7 = 70/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/280 > 70/280 or 30/56 > 10/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/56 and 10/40 30/56 and 20/40 30/56 and 10/80 90/56 and 10/40 30/56 and 30/40 30/56 and 50/40 30/56 and 70/40