Solve 81/2-713/16

$$8 \frac { 1 } { 2 } - 7 \frac { 13 } { 16 }$$

Evaluate

$$\frac{11}{16}=0.6875$$

Solution Steps

Multiply 8 and 2 to get 16.

$$\frac{16+1}{2}-\frac{7\times 16+13}{16}$$

Add 16 and 1 to get 17.

$$\frac{17}{2}-\frac{7\times 16+13}{16}$$

Multiply 7 and 16 to get 112.

$$\frac{17}{2}-\frac{112+13}{16}$$

Add 112 and 13 to get 125.

$$\frac{17}{2}-\frac{125}{16}$$

Least common multiple of 2 and 16 is 16. Convert \frac{17}{2} and \frac{125}{16} to fractions with denominator 16.

$$\frac{136}{16}-\frac{125}{16}$$

Since \frac{136}{16} and \frac{125}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{136-125}{16}$$

Subtract 125 from 136 to get 11.

$$\frac{11}{16}$$

Factor

$$\frac{11}{2 ^ {4}} = 0.6875$$