Solve 6+(8):2*(-1):(-3)*5div10)

$$6 + ( 8 ) : 2 \times ( - 1 ) : ( - 3 ) \times 5 \div 10 )$$

Evaluate

$$\frac{20}{3}\approx 6.666666667$$

Solution Steps

Divide 8 by 2 to get 4.

$$6+\frac{\frac{4\left(-1\right)}{-3}\times 5}{10}$$

Multiply 4 and -1 to get -4.

$$6+\frac{\frac{-4}{-3}\times 5}{10}$$

Fraction \frac{-4}{-3} can be simplified to \frac{4}{3} by removing the negative sign from both the numerator and the denominator.

$$6+\frac{\frac{4}{3}\times 5}{10}$$

Express \frac{4}{3}\times 5 as a single fraction.

$$6+\frac{\frac{4\times 5}{3}}{10}$$

Multiply 4 and 5 to get 20.

$$6+\frac{\frac{20}{3}}{10}$$

Express \frac{\frac{20}{3}}{10} as a single fraction.

$$6+\frac{20}{3\times 10}$$

Multiply 3 and 10 to get 30.

$$6+\frac{20}{30}$$

Reduce the fraction \frac{20}{30} to lowest terms by extracting and canceling out 10.

$$6+\frac{2}{3}$$

Convert 6 to fraction \frac{18}{3}.

$$\frac{18}{3}+\frac{2}{3}$$

Since \frac{18}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{18+2}{3}$$

Add 18 and 2 to get 20.

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

Factor

$$\frac{2 ^ {2} \cdot 5}{3} = 6\frac{2}{3} = 6.666666666666667$$