Solve 6-{(-2)^3div(2-7)+3/5}

$$6 - \{ ( - 2 ) ^ { 3 } \div ( 2 - 7 ) + \frac { 3 } { 5 } \}$$

Evaluate

$$\frac{19}{5}=3.8$$

Solution Steps

Calculate -2 to the power of 3 and get -8.

$$6-\left(\frac{-8}{2-7}+\frac{3}{5}\right)$$

Subtract 7 from 2 to get -5.

$$6-\left(\frac{-8}{-5}+\frac{3}{5}\right)$$

Fraction \frac{-8}{-5} can be simplified to \frac{8}{5} by removing the negative sign from both the numerator and the denominator.

$$6-\left(\frac{8}{5}+\frac{3}{5}\right)$$

Since \frac{8}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$6-\frac{8+3}{5}$$

Add 8 and 3 to get 11.

$$6-\frac{11}{5}$$

Convert 6 to fraction \frac{30}{5}.

$$\frac{30}{5}-\frac{11}{5}$$

Since \frac{30}{5} and \frac{11}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-11}{5}$$

Subtract 11 from 30 to get 19.

$$\frac{19}{5}$$

Factor

$$\frac{19}{5} = 3\frac{4}{5} = 3.8$$