Solve 25*(1-1/0,8)=

$$25 \times ( 1 - \frac { 1 } { 0,8 } ) =$$

Evaluate

$$-6,25$$

Solution Steps

Expand \frac{1}{0,8} by multiplying both numerator and the denominator by 10.

$$25\left(1-\frac{10}{8}\right)$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$25\left(1-\frac{5}{4}\right)$$

Convert 1 to fraction \frac{4}{4}.

$$25\left(\frac{4}{4}-\frac{5}{4}\right)$$

Since \frac{4}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$25\times \frac{4-5}{4}$$

Subtract 5 from 4 to get -1.

$$25\left(-\frac{1}{4}\right)$$

Express 25\left(-\frac{1}{4}\right) as a single fraction.

$$\frac{25\left(-1\right)}{4}$$

Multiply 25 and -1 to get -25.

$$\frac{-25}{4}$$

Fraction \frac{-25}{4} can be rewritten as -\frac{25}{4} by extracting the negative sign.

$$-\frac{25}{4}$$

Factor

$$-6,25$$