Solve (-306/11)div9-(-6/12)*(-24)

$$(- \frac{ 306 }{ 11 } ) \div 9-(- \frac{ 6 }{ 12 } ) \times (-24)$$

Evaluate

$$-\frac{166}{11}\approx -15.090909091$$

Solution Steps

Express \frac{-\frac{306}{11}}{9} as a single fraction.

$$\frac{-306}{11\times 9}-\left(-\frac{6}{12}\right)\left(-24\right)$$

Multiply 11 and 9 to get 99.

$$\frac{-306}{99}-\left(-\frac{6}{12}\right)\left(-24\right)$$

Reduce the fraction \frac{-306}{99} to lowest terms by extracting and canceling out 9.

$$-\frac{34}{11}-\left(-\frac{6}{12}\right)\left(-24\right)$$

Reduce the fraction \frac{6}{12} to lowest terms by extracting and canceling out 6.

$$-\frac{34}{11}-\left(-\frac{1}{2}\left(-24\right)\right)$$

Express -\frac{1}{2}\left(-24\right) as a single fraction.

$$-\frac{34}{11}-\frac{-\left(-24\right)}{2}$$

Multiply -1 and -24 to get 24.

$$-\frac{34}{11}-\frac{24}{2}$$

Divide 24 by 2 to get 12.

$$-\frac{34}{11}-12$$

Convert 12 to fraction \frac{132}{11}.

$$-\frac{34}{11}-\frac{132}{11}$$

Since -\frac{34}{11} and \frac{132}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-34-132}{11}$$

Subtract 132 from -34 to get -166.

$$-\frac{166}{11}$$

Factor

$$-\frac{166}{11} = -15\frac{1}{11} = -15.090909090909092$$