Compare 10/45 and 30/56
10/45 is smaller than 30/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 56 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 45 × 56 = 2520,
10/45 = 10 × 56/45 × 56 = 560/2520 - Likewise, for the 2nd fraction, since 56 × 45 = 2520,
30/56 = 30 × 45/56 × 45 = 1350/2520 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 560/2520 < 1350/2520 or 10/45 < 30/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/45 and 30/56 10/45 and 60/56 10/90 and 30/56 30/45 and 30/56 10/45 and 90/56 50/45 and 30/56 70/45 and 30/56