Solve 3k/10+1-k/5

$$\frac { 3 k } { 10 } + \frac { 1 - k } { 5 }$$

Evaluate

$$\frac{k+2}{10}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 10 and 5 is 10. Multiply \frac{1-k}{5} times \frac{2}{2}.

$$\frac{3k}{10}+\frac{2\left(1-k\right)}{10}$$

Since \frac{3k}{10} and \frac{2\left(1-k\right)}{10} have the same denominator, add them by adding their numerators.

$$\frac{3k+2\left(1-k\right)}{10}$$

Do the multiplications in 3k+2\left(1-k\right).

$$\frac{3k+2-2k}{10}$$

Combine like terms in 3k+2-2k.

$$\frac{k+2}{10}$$

Expand

$$\frac{k}{10}+\frac{1}{5}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 10 and 5 is 10. Multiply \frac{1-k}{5} times \frac{2}{2}.

$$\frac{3k}{10}+\frac{2\left(1-k\right)}{10}$$

Since \frac{3k}{10} and \frac{2\left(1-k\right)}{10} have the same denominator, add them by adding their numerators.

$$\frac{3k+2\left(1-k\right)}{10}$$

Do the multiplications in 3k+2\left(1-k\right).

$$\frac{3k+2-2k}{10}$$

Combine like terms in 3k+2-2k.

$$\frac{k+2}{10}$$