Solve 2+10div5^2*(-1/2)-1

$$2 + 10 \div 5 ^ { 2 } \times ( - \frac { 1 } { 2 } ) - 1$$

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$2+\frac{10}{25}\left(-\frac{1}{2}\right)-1$$

Reduce the fraction \frac{10}{25} to lowest terms by extracting and canceling out 5.

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

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

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

Cancel out 2 in both numerator and denominator.

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

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

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

Convert 2 to fraction \frac{10}{5}.

$$\frac{10}{5}-\frac{1}{5}-1$$

Since \frac{10}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-1}{5}-1$$

Subtract 1 from 10 to get 9.

$$\frac{9}{5}-1$$

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

$$\frac{9}{5}-\frac{5}{5}$$

Since \frac{9}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-5}{5}$$

Subtract 5 from 9 to get 4.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$