Add 40/18 and 45/14
1st number: 2 4/18, 2nd number: 3 3/14
40/18 + 45/14 is 685/126.
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,
40/18 = 40 × 7/18 × 7 = 280/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
45/14 = 45 × 9/14 × 9 = 405/126 - Add the two like fractions:
280/126 + 405/126 = 280 + 405/126 = 685/126 - So, 40/18 + 45/14 = 685/126
In mixed form: 555/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/18+45/14 40/18+90/14 40/36+45/14 40/18+45/28 40/54+45/14 40/18+45/42 40/90+45/14 40/18+45/70 40/18+45/98