Solve 2(1/5m-2/5)+3/5

$$2 ( \frac { 1 } { 5 } m - \frac { 2 } { 5 } ) + \frac { 3 } { 5 }$$

Evaluate

$$\frac{2m-1}{5}$$

Solution Steps

Use the distributive property to multiply 2 by \frac{1}{5}m-\frac{2}{5}.

$$2\times \frac{1}{5}m+2\left(-\frac{2}{5}\right)+\frac{3}{5}$$

Multiply 2 and \frac{1}{5} to get \frac{2}{5}.

$$\frac{2}{5}m+2\left(-\frac{2}{5}\right)+\frac{3}{5}$$

Express 2\left(-\frac{2}{5}\right) as a single fraction.

$$\frac{2}{5}m+\frac{2\left(-2\right)}{5}+\frac{3}{5}$$

Multiply 2 and -2 to get -4.

$$\frac{2}{5}m+\frac{-4}{5}+\frac{3}{5}$$

Fraction \frac{-4}{5} can be rewritten as -\frac{4}{5} by extracting the negative sign.

$$\frac{2}{5}m-\frac{4}{5}+\frac{3}{5}$$

Since -\frac{4}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{2}{5}m+\frac{-4+3}{5}$$

Add -4 and 3 to get -1.

$$\frac{2}{5}m-\frac{1}{5}$$

Expand

$$\frac{2m-1}{5}$$

Solution Steps

Use the distributive property to multiply 2 by \frac{1}{5}m-\frac{2}{5}.

$$2\times \frac{1}{5}m+2\left(-\frac{2}{5}\right)+\frac{3}{5}$$

Multiply 2 and \frac{1}{5} to get \frac{2}{5}.

$$\frac{2}{5}m+2\left(-\frac{2}{5}\right)+\frac{3}{5}$$

Express 2\left(-\frac{2}{5}\right) as a single fraction.

$$\frac{2}{5}m+\frac{2\left(-2\right)}{5}+\frac{3}{5}$$

Multiply 2 and -2 to get -4.

$$\frac{2}{5}m+\frac{-4}{5}+\frac{3}{5}$$

Fraction \frac{-4}{5} can be rewritten as -\frac{4}{5} by extracting the negative sign.

$$\frac{2}{5}m-\frac{4}{5}+\frac{3}{5}$$

Since -\frac{4}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{2}{5}m+\frac{-4+3}{5}$$

Add -4 and 3 to get -1.

$$\frac{2}{5}m-\frac{1}{5}$$