Solve 1641/11:46/11-08

$$164 \frac { 1 } { 11 } : 4 \frac { 6 } { 11 } - 08$$

Evaluate

$$\frac{361}{10}=36.1$$

Solution Steps

Divide \frac{164\times 11+1}{11} by \frac{4\times 11+6}{11} by multiplying \frac{164\times 11+1}{11} by the reciprocal of \frac{4\times 11+6}{11}.

$$\frac{\left(164\times 11+1\right)\times 11}{11\left(4\times 11+6\right)}-0\times 8$$

Cancel out 11 in both numerator and denominator.

$$\frac{1+11\times 164}{6+4\times 11}-0\times 8$$

Multiply 11 and 164 to get 1804.

$$\frac{1+1804}{6+4\times 11}-0\times 8$$

Add 1 and 1804 to get 1805.

$$\frac{1805}{6+4\times 11}-0\times 8$$

Multiply 4 and 11 to get 44.

$$\frac{1805}{6+44}-0\times 8$$

Add 6 and 44 to get 50.

$$\frac{1805}{50}-0\times 8$$

Reduce the fraction \frac{1805}{50} to lowest terms by extracting and canceling out 5.

$$\frac{361}{10}-0\times 8$$

Multiply 0 and 8 to get 0.

$$\frac{361}{10}-0$$

Subtract 0 from \frac{361}{10} to get \frac{361}{10}.

$$\frac{361}{10}$$

Factor

$$\frac{19 ^ {2}}{2 \cdot 5} = 36\frac{1}{10} = 36.1$$