Add 14/40 and 27/14
1st number: 14/40, 2nd number: 1 13/14
14/40 + 27/14 is 319/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
14/40 = 14 × 7/40 × 7 = 98/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
27/14 = 27 × 20/14 × 20 = 540/280 - Add the two like fractions:
98/280 + 540/280 = 98 + 540/280 = 638/280 - 638/280 simplified gives 319/140
- So, 14/40 + 27/14 = 319/140
In mixed form: 239/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/40+27/14 14/40+54/14 14/80+27/14 14/40+27/28 42/40+27/14 14/40+81/14 14/40+27/42 70/40+27/14 14/40+27/70 98/40+27/14 14/40+27/98