Solve 76-22^2/8/8

$$\frac { 76 - \frac { 22 ^ { 2 } } { 8 } } { 8 }$$

Evaluate

$$\frac{31}{16}=1.9375$$

Solution Steps

Calculate 22 to the power of 2 and get 484.

$$\frac{76-\frac{484}{8}}{8}$$

Reduce the fraction \frac{484}{8} to lowest terms by extracting and canceling out 4.

$$\frac{76-\frac{121}{2}}{8}$$

Convert 76 to fraction \frac{152}{2}.

$$\frac{\frac{152}{2}-\frac{121}{2}}{8}$$

Since \frac{152}{2} and \frac{121}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{152-121}{2}}{8}$$

Subtract 121 from 152 to get 31.

$$\frac{\frac{31}{2}}{8}$$

Express \frac{\frac{31}{2}}{8} as a single fraction.

$$\frac{31}{2\times 8}$$

Multiply 2 and 8 to get 16.

$$\frac{31}{16}$$

Factor

$$\frac{31}{2 ^ {4}} = 1\frac{15}{16} = 1.9375$$