Solve 1/9left(2+3(0.167)-3(-0.508)right)

$$\frac{ 1 }{ 9 } \left( 2+3(0.167)-3(-0.508) \right)$$

Evaluate

$$\frac{161}{360}\approx 0.447222222$$

Solution Steps

Multiply 3 and 0.167 to get 0.501.

$$\frac{1}{9}\left(2+0.501-3\left(-0.508\right)\right)$$

Add 2 and 0.501 to get 2.501.

$$\frac{1}{9}\left(2.501-3\left(-0.508\right)\right)$$

Multiply 3 and -0.508 to get -1.524.

$$\frac{1}{9}\left(2.501-\left(-1.524\right)\right)$$

The opposite of -1.524 is 1.524.

$$\frac{1}{9}\left(2.501+1.524\right)$$

Add 2.501 and 1.524 to get 4.025.

$$\frac{1}{9}\times 4.025$$

Convert decimal number 4.025 to fraction \frac{4025}{1000}. Reduce the fraction \frac{4025}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{1}{9}\times \frac{161}{40}$$

Multiply \frac{1}{9} times \frac{161}{40} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 161}{9\times 40}$$

Do the multiplications in the fraction \frac{1\times 161}{9\times 40}.

$$\frac{161}{360}$$

Factor

$$\frac{7 \cdot 23}{5 \cdot 2 ^ {3} \cdot 3 ^ {2}} = 0.44722222222222224$$