Solve -1/7(3-2(0.167)+0.447)

$$\frac { - 1 } { 7 } ( 3 - 2 ( 0.167 ) + 0.447 )$$

Evaluate

$$-\frac{3113}{7000}\approx -0.444714286$$

Solution Steps

Fraction \frac{-1}{7} can be rewritten as -\frac{1}{7} by extracting the negative sign.

$$-\frac{1}{7}\left(3-2\times 0.167+0.447\right)$$

Multiply 2 and 0.167 to get 0.334.

$$-\frac{1}{7}\left(3-0.334+0.447\right)$$

Subtract 0.334 from 3 to get 2.666.

$$-\frac{1}{7}\left(2.666+0.447\right)$$

Add 2.666 and 0.447 to get 3.113.

$$-\frac{1}{7}\times 3.113$$

Convert decimal number 3.113 to fraction \frac{3113}{1000}.

$$-\frac{1}{7}\times \frac{3113}{1000}$$

Multiply -\frac{1}{7} times \frac{3113}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3113}{7\times 1000}$$

Do the multiplications in the fraction \frac{-3113}{7\times 1000}.

$$\frac{-3113}{7000}$$

Fraction \frac{-3113}{7000} can be rewritten as -\frac{3113}{7000} by extracting the negative sign.

$$-\frac{3113}{7000}$$

Factor

$$-\frac{3113}{7000} = -0.44471428571428573$$