Solve 1/4(-0,02)+2

$$\frac { 1 } { 4 } ( - 0,02 ) + 2$$

Evaluate

$$1,995$$

Solution Steps

Convert decimal number -0,02 to fraction -\frac{2}{100}. Reduce the fraction -\frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}\left(-\frac{1}{50}\right)+2$$

Multiply \frac{1}{4} times -\frac{1}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-1\right)}{4\times 50}+2$$

Do the multiplications in the fraction \frac{1\left(-1\right)}{4\times 50}.

$$\frac{-1}{200}+2$$

Fraction \frac{-1}{200} can be rewritten as -\frac{1}{200} by extracting the negative sign.

$$-\frac{1}{200}+2$$

Convert 2 to fraction \frac{400}{200}.

$$-\frac{1}{200}+\frac{400}{200}$$

Since -\frac{1}{200} and \frac{400}{200} have the same denominator, add them by adding their numerators.

$$\frac{-1+400}{200}$$

Add -1 and 400 to get 399.

$$\frac{399}{200}$$

Factor

$$\frac{3 \cdot 7 \cdot 19}{2 ^ {3} \cdot 5 ^ {2}} = 1\frac{199}{200} = 1.995$$