Add 45/18 and 27/14
1st number: 2 9/18, 2nd number: 1 13/14
45/18 + 27/14 is 31/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 14 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
45/18 = 45 × 7/18 × 7 = 315/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
27/14 = 27 × 9/14 × 9 = 243/126 - Add the two like fractions:
315/126 + 243/126 = 315 + 243/126 = 558/126 - 558/126 simplified gives 31/7
- So, 45/18 + 27/14 = 31/7
In mixed form: 43/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/18+27/14 45/18+54/14 45/36+27/14 45/18+27/28 45/18+81/14 45/54+27/14 45/18+27/42 45/90+27/14 45/18+27/70 45/18+27/98