Add 35/14 and 28/40
1st number: 2 7/14, 2nd number: 28/40
35/14 + 28/40 is 16/5.
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,
35/14 = 35 × 20/14 × 20 = 700/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
28/40 = 28 × 7/40 × 7 = 196/280 - Add the two like fractions:
700/280 + 196/280 = 700 + 196/280 = 896/280 - 896/280 simplified gives 16/5
- So, 35/14 + 28/40 = 16/5
In mixed form: 31/5
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/14+28/40 35/14+56/40 35/28+28/40 35/14+28/80 35/14+84/40 35/42+28/40 35/70+28/40 35/98+28/40