Solve 2x-a/5+2/1/3

$$\frac { \frac { 2 x - a } { 5 } + \frac { 2 } { 1 } } { 3 }$$

Evaluate

$$\frac{2x}{15}-\frac{a}{15}+\frac{2}{3}$$

Short Solution Steps

Anything divided by one gives itself.

$$\frac{\frac{2x-a}{5}+2}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{5}{5}.

$$\frac{\frac{2x-a}{5}+\frac{2\times 5}{5}}{3}$$

Since \frac{2x-a}{5} and \frac{2\times 5}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2x-a+2\times 5}{5}}{3}$$

Do the multiplications in 2x-a+2\times 5.

$$\frac{\frac{2x-a+10}{5}}{3}$$

Express \frac{\frac{2x-a+10}{5}}{3} as a single fraction.

$$\frac{2x-a+10}{5\times 3}$$

Multiply 5 and 3 to get 15.

$$\frac{2x-a+10}{15}$$

Expand

$$\frac{2x}{15}-\frac{a}{15}+\frac{2}{3}$$

Short Solution Steps

Anything divided by one gives itself.

$$\frac{\frac{2x-a}{5}+2}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{5}{5}.

$$\frac{\frac{2x-a}{5}+\frac{2\times 5}{5}}{3}$$

Since \frac{2x-a}{5} and \frac{2\times 5}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2x-a+2\times 5}{5}}{3}$$

Do the multiplications in 2x-a+2\times 5.

$$\frac{\frac{2x-a+10}{5}}{3}$$

Express \frac{\frac{2x-a+10}{5}}{3} as a single fraction.

$$\frac{2x-a+10}{5\times 3}$$

Multiply 5 and 3 to get 15.

$$\frac{2x-a+10}{15}$$