Compare 56/75 and 7/40
56/75 is greater than 7/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
56/75 = 56 × 8/75 × 8 = 448/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
7/40 = 7 × 15/40 × 15 = 105/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 448/600 > 105/600 or 56/75 > 7/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/75 and 14/40 56/75 and 7/80 56/75 and 21/40 56/75 and 35/40 56/75 and 49/40