Add 8/14 and 35/40
8/14 + 35/40 is 81/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
8/14 = 8 × 20/14 × 20 = 160/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
35/40 = 35 × 7/40 × 7 = 245/280 - Add the two like fractions:
160/280 + 245/280 = 160 + 245/280 = 405/280 - 405/280 simplified gives 81/56
- So, 8/14 + 35/40 = 81/56
In mixed form: 125/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/14+35/40 8/14+70/40 8/28+35/40 8/14+35/80 24/14+35/40 8/42+35/40 40/14+35/40 8/70+35/40 56/14+35/40 8/98+35/40