Solve 1/5(-1+2(0.156)-3(-0.568))=

$$\frac { 1 } { 5 } ( - 1 + 2 ( 0.156 ) - 3 ( - 0.568 ) ) =$$

Evaluate

$$0.2032$$

Solution Steps

Multiply 2 and 0.156 to get 0.312.

$$\frac{1}{5}\left(-1+0.312-3\left(-0.568\right)\right)$$

Add -1 and 0.312 to get -0.688.

$$\frac{1}{5}\left(-0.688-3\left(-0.568\right)\right)$$

Multiply 3 and -0.568 to get -1.704.

$$\frac{1}{5}\left(-0.688-\left(-1.704\right)\right)$$

The opposite of -1.704 is 1.704.

$$\frac{1}{5}\left(-0.688+1.704\right)$$

Add -0.688 and 1.704 to get 1.016.

$$\frac{1}{5}\times 1.016$$

Convert decimal number 1.016 to fraction \frac{1016}{1000}. Reduce the fraction \frac{1016}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{1}{5}\times \frac{127}{125}$$

Multiply \frac{1}{5} times \frac{127}{125} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 127}{5\times 125}$$

Do the multiplications in the fraction \frac{1\times 127}{5\times 125}.

$$\frac{127}{625}$$

Factor

$$\frac{127}{5 ^ {4}} = 0.2032$$