Solve 1-1/5:(-0,2)+5/4*(-0,16)

$$1 - \frac { 1 } { 5 } : ( - 0,2 ) + \frac { 5 } { 4 } \cdot ( - 0,16 )$$

Evaluate

$$1,8$$

Solution Steps

Divide \frac{1}{5} by -0,2 to get -1.

$$1-\left(-1\right)+\frac{5}{4}\left(-0,16\right)$$

The opposite of -1 is 1.

$$1+1+\frac{5}{4}\left(-0,16\right)$$

Add 1 and 1 to get 2.

$$2+\frac{5}{4}\left(-0,16\right)$$

Convert decimal number -0,16 to fraction -\frac{16}{100}. Reduce the fraction -\frac{16}{100} to lowest terms by extracting and canceling out 4.

$$2+\frac{5}{4}\left(-\frac{4}{25}\right)$$

Multiply \frac{5}{4} times -\frac{4}{25} by multiplying numerator times numerator and denominator times denominator.

$$2+\frac{5\left(-4\right)}{4\times 25}$$

Do the multiplications in the fraction \frac{5\left(-4\right)}{4\times 25}.

$$2+\frac{-20}{100}$$

Reduce the fraction \frac{-20}{100} to lowest terms by extracting and canceling out 20.

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

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

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

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

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

Subtract 1 from 10 to get 9.

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

Factor

$$\frac{3 ^ {2}}{5} = 1\frac{4}{5} = 1.8$$