Compare 30/63 and 40/56
30/63 is smaller than 40/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 63 × 8 = 504,
30/63 = 30 × 8/63 × 8 = 240/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
40/56 = 40 × 9/56 × 9 = 360/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/504 < 360/504 or 30/63 < 40/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/63 and 40/56 30/63 and 80/56 90/63 and 40/56