Solve 221/2div12/11=

$$22 \frac { 1 } { 2 } \div \frac { 12 } { 11 } =$$

Evaluate

$$\frac{165}{8}=20.625$$

Solution Steps

Divide \frac{22\times 2+1}{2} by \frac{12}{11} by multiplying \frac{22\times 2+1}{2} by the reciprocal of \frac{12}{11}.

$$\frac{\left(22\times 2+1\right)\times 11}{2\times 12}$$

Multiply 22 and 2 to get 44.

$$\frac{\left(44+1\right)\times 11}{2\times 12}$$

Add 44 and 1 to get 45.

$$\frac{45\times 11}{2\times 12}$$

Multiply 45 and 11 to get 495.

$$\frac{495}{2\times 12}$$

Multiply 2 and 12 to get 24.

$$\frac{495}{24}$$

Reduce the fraction \frac{495}{24} to lowest terms by extracting and canceling out 3.

$$\frac{165}{8}$$

Factor

$$\frac{3 \cdot 5 \cdot 11}{2 ^ {3}} = 20\frac{5}{8} = 20.625$$