Solve {r}{22}{*11/22}{+22/242}

$$\left. \begin{array} { r } { 22 } \\ { \times \frac { 11 } { 22 } } \\ { + \frac { 22 } { 242 } } \end{array} \right.$$

Evaluate

$$\frac{122}{11}\approx 11.090909091$$

Solution Steps

Reduce the fraction \frac{11}{22} to lowest terms by extracting and canceling out 11.

$$22\times \frac{1}{2}+\frac{22}{242}$$

Multiply 22 and \frac{1}{2} to get \frac{22}{2}.

$$\frac{22}{2}+\frac{22}{242}$$

Divide 22 by 2 to get 11.

$$11+\frac{22}{242}$$

Reduce the fraction \frac{22}{242} to lowest terms by extracting and canceling out 22.

$$11+\frac{1}{11}$$

Convert 11 to fraction \frac{121}{11}.

$$\frac{121}{11}+\frac{1}{11}$$

Since \frac{121}{11} and \frac{1}{11} have the same denominator, add them by adding their numerators.

$$\frac{121+1}{11}$$

Add 121 and 1 to get 122.

$$\frac{122}{11}$$

Factor

$$\frac{2 \cdot 61}{11} = 11\frac{1}{11} = 11.090909090909092$$