Solve 1/8+11/1-frac{3{11}}

$$\frac { 1 } { 8 } + \frac { 11 } { 1 - \frac { 3 } { 11 } }$$

Evaluate

$$\frac{61}{4}=15.25$$

Solution Steps

Convert 1 to fraction \frac{11}{11}.

$$\frac{1}{8}+\frac{11}{\frac{11}{11}-\frac{3}{11}}$$

Since \frac{11}{11} and \frac{3}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{8}+\frac{11}{\frac{11-3}{11}}$$

Subtract 3 from 11 to get 8.

$$\frac{1}{8}+\frac{11}{\frac{8}{11}}$$

Divide 11 by \frac{8}{11} by multiplying 11 by the reciprocal of \frac{8}{11}.

$$\frac{1}{8}+11\times \frac{11}{8}$$

Express 11\times \frac{11}{8} as a single fraction.

$$\frac{1}{8}+\frac{11\times 11}{8}$$

Multiply 11 and 11 to get 121.

$$\frac{1}{8}+\frac{121}{8}$$

Since \frac{1}{8} and \frac{121}{8} have the same denominator, add them by adding their numerators.

$$\frac{1+121}{8}$$

Add 1 and 121 to get 122.

$$\frac{122}{8}$$

Reduce the fraction \frac{122}{8} to lowest terms by extracting and canceling out 2.

$$\frac{61}{4}$$

Factor

$$\frac{61}{2 ^ {2}} = 15\frac{1}{4} = 15.25$$