Solve 69/16-13/16

$$6 \frac { 9 } { 16 } - 1 \frac { 3 } { 16 }$$

Evaluate

$$\frac{43}{8}=5.375$$

Solution Steps

Multiply 6 and 16 to get 96.

$$\frac{96+9}{16}-\frac{1\times 16+3}{16}$$

Add 96 and 9 to get 105.

$$\frac{105}{16}-\frac{1\times 16+3}{16}$$

Multiply 1 and 16 to get 16.

$$\frac{105}{16}-\frac{16+3}{16}$$

Add 16 and 3 to get 19.

$$\frac{105}{16}-\frac{19}{16}$$

Since \frac{105}{16} and \frac{19}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{105-19}{16}$$

Subtract 19 from 105 to get 86.

$$\frac{86}{16}$$

Reduce the fraction \frac{86}{16} to lowest terms by extracting and canceling out 2.

$$\frac{43}{8}$$

Factor

$$\frac{43}{2 ^ {3}} = 5\frac{3}{8} = 5.375$$