Solve 98/8-59/16

$$9 \frac { 8 } { 8 } - 5 \frac { 9 } { 16 }$$

Evaluate

$$\frac{71}{16}=4.4375$$

Solution Steps

Multiply 9 and 8 to get 72.

$$\frac{72+8}{8}-\frac{5\times 16+9}{16}$$

Add 72 and 8 to get 80.

$$\frac{80}{8}-\frac{5\times 16+9}{16}$$

Divide 80 by 8 to get 10.

$$10-\frac{5\times 16+9}{16}$$

Multiply 5 and 16 to get 80.

$$10-\frac{80+9}{16}$$

Add 80 and 9 to get 89.

$$10-\frac{89}{16}$$

Convert 10 to fraction \frac{160}{16}.

$$\frac{160}{16}-\frac{89}{16}$$

Since \frac{160}{16} and \frac{89}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{160-89}{16}$$

Subtract 89 from 160 to get 71.

$$\frac{71}{16}$$

Factor

$$\frac{71}{2 ^ {4}} = 4\frac{7}{16} = 4.4375$$