Solve (-6+64div10):(-8)*(-3)=

$$( - 6 + 64 \div 10 ) : ( - 8 ) \cdot ( - 3 ) =$$

Evaluate

$$\frac{3}{20}=0.15$$

Solution Steps

Reduce the fraction \frac{64}{10} to lowest terms by extracting and canceling out 2.

$$\frac{-6+\frac{32}{5}}{-8}\left(-3\right)$$

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

$$\frac{-\frac{30}{5}+\frac{32}{5}}{-8}\left(-3\right)$$

Since -\frac{30}{5} and \frac{32}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-30+32}{5}}{-8}\left(-3\right)$$

Add -30 and 32 to get 2.

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

Express \frac{\frac{2}{5}}{-8} as a single fraction.

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

Multiply 5 and -8 to get -40.

$$\frac{2}{-40}\left(-3\right)$$

Reduce the fraction \frac{2}{-40} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{20}\left(-3\right)$$

Express -\frac{1}{20}\left(-3\right) as a single fraction.

$$\frac{-\left(-3\right)}{20}$$

Multiply -1 and -3 to get 3.

$$\frac{3}{20}$$

Factor

$$\frac{3}{2 ^ {2} \cdot 5} = 0.15$$