Solve 1-2(1/5-1)

$$1 - 2 ( \frac { 1 } { 5 } - 1 )$$

Evaluate

$$\frac{13}{5}=2.6$$

Solution Steps

Convert 1 to fraction \frac{5}{5}.

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

Since \frac{1}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 5 from 1 to get -4.

$$1-2\left(-\frac{4}{5}\right)$$

Express 2\left(-\frac{4}{5}\right) as a single fraction.

$$1-\frac{2\left(-4\right)}{5}$$

Multiply 2 and -4 to get -8.

$$1-\frac{-8}{5}$$

Fraction \frac{-8}{5} can be rewritten as -\frac{8}{5} by extracting the negative sign.

$$1-\left(-\frac{8}{5}\right)$$

The opposite of -\frac{8}{5} is \frac{8}{5}.

$$1+\frac{8}{5}$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{5}{5}+\frac{8}{5}$$

Since \frac{5}{5} and \frac{8}{5} have the same denominator, add them by adding their numerators.

$$\frac{5+8}{5}$$

Add 5 and 8 to get 13.

$$\frac{13}{5}$$

Factor

$$\frac{13}{5} = 2\frac{3}{5} = 2.6$$