Solve [2/5(1/2-1)+(6/5)]*5

$$[ \frac { 2 } { 5 } ( \frac { 1 } { 2 } - 1 ) + ( \frac { 6 } { 5 } ) ] \cdot 5$$

Evaluate

$$5$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

$$\left(\frac{2}{5}\left(\frac{1}{2}-\frac{2}{2}\right)+\frac{6}{5}\right)\times 5$$

Since \frac{1}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\left(\frac{2}{5}\times \frac{1-2}{2}+\frac{6}{5}\right)\times 5$$

Subtract 2 from 1 to get -1.

$$\left(\frac{2}{5}\left(-\frac{1}{2}\right)+\frac{6}{5}\right)\times 5$$

Multiply \frac{2}{5} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{2\left(-1\right)}{5\times 2}+\frac{6}{5}\right)\times 5$$

Cancel out 2 in both numerator and denominator.

$$\left(\frac{-1}{5}+\frac{6}{5}\right)\times 5$$

Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

$$\left(-\frac{1}{5}+\frac{6}{5}\right)\times 5$$

Since -\frac{1}{5} and \frac{6}{5} have the same denominator, add them by adding their numerators.

$$\frac{-1+6}{5}\times 5$$

Add -1 and 6 to get 5.

$$\frac{5}{5}\times 5$$

Divide 5 by 5 to get 1.

$$1\times 5$$

Multiply 1 and 5 to get 5.

$$5$$

Factor

$$5$$