Compare 45/28 and 40/30
1st number: 1 17/28, 2nd number: 1 10/30
45/28 is greater than 40/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 28 × 15 = 420,
45/28 = 45 × 15/28 × 15 = 675/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
40/30 = 40 × 14/30 × 14 = 560/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/420 > 560/420 or 45/28 > 40/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/28 and 40/30 45/28 and 80/30 45/56 and 40/30 45/28 and 40/60 45/84 and 40/30 45/28 and 40/90