Solve 33/50div(-1/3)div9*1/9div(-11/9)

$$\frac { 33 } { 50 } \div ( - \frac { 1 } { 3 } ) \div 9 \times \frac { 1 } { 9 } \div ( - 1 \frac { 1 } { 9 } )$$

Evaluate

$$\frac{11}{500}=0.022$$

Solution Steps

Express \frac{\frac{\frac{33}{50}}{-\frac{1}{3}}}{9} as a single fraction.

$$\frac{\frac{\frac{33}{50}}{-\frac{1}{3}\times 9}\times \frac{1}{9}}{-\frac{1\times 9+1}{9}}$$

Express -\frac{1}{3}\times 9 as a single fraction.

$$\frac{\frac{\frac{33}{50}}{\frac{-9}{3}}\times \frac{1}{9}}{-\frac{1\times 9+1}{9}}$$

Divide -9 by 3 to get -3.

$$\frac{\frac{\frac{33}{50}}{-3}\times \frac{1}{9}}{-\frac{1\times 9+1}{9}}$$

Express \frac{\frac{33}{50}}{-3} as a single fraction.

$$\frac{\frac{33}{50\left(-3\right)}\times \frac{1}{9}}{-\frac{1\times 9+1}{9}}$$

Multiply 50 and -3 to get -150.

$$\frac{\frac{33}{-150}\times \frac{1}{9}}{-\frac{1\times 9+1}{9}}$$

Reduce the fraction \frac{33}{-150} to lowest terms by extracting and canceling out 3.

$$\frac{-\frac{11}{50}\times \frac{1}{9}}{-\frac{1\times 9+1}{9}}$$

Multiply -\frac{11}{50} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{-11}{50\times 9}}{-\frac{1\times 9+1}{9}}$$

Do the multiplications in the fraction \frac{-11}{50\times 9}.

$$\frac{\frac{-11}{450}}{-\frac{1\times 9+1}{9}}$$

Fraction \frac{-11}{450} can be rewritten as -\frac{11}{450} by extracting the negative sign.

$$\frac{-\frac{11}{450}}{-\frac{1\times 9+1}{9}}$$

Multiply 1 and 9 to get 9.

$$\frac{-\frac{11}{450}}{-\frac{9+1}{9}}$$

Add 9 and 1 to get 10.

$$\frac{-\frac{11}{450}}{-\frac{10}{9}}$$

Divide -\frac{11}{450} by -\frac{10}{9} by multiplying -\frac{11}{450} by the reciprocal of -\frac{10}{9}.

$$-\frac{11}{450}\left(-\frac{9}{10}\right)$$

Multiply -\frac{11}{450} times -\frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-11\left(-9\right)}{450\times 10}$$

Do the multiplications in the fraction \frac{-11\left(-9\right)}{450\times 10}.

$$\frac{99}{4500}$$

Reduce the fraction \frac{99}{4500} to lowest terms by extracting and canceling out 9.

$$\frac{11}{500}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 5 ^ {3}} = 0.022$$