Solve (13-81/16-25/16)*1/2

$$( 13 - \frac { 81 } { 16 } - \frac { 25 } { 16 } ) \times \frac { 1 } { 2 }$$

Evaluate

$$\frac{51}{16}=3.1875$$

Solution Steps

Convert 13 to fraction \frac{208}{16}.

$$\left(\frac{208}{16}-\frac{81}{16}-\frac{25}{16}\right)\times \frac{1}{2}$$

Since \frac{208}{16} and \frac{81}{16} have the same denominator, subtract them by subtracting their numerators.

$$\left(\frac{208-81}{16}-\frac{25}{16}\right)\times \frac{1}{2}$$

Subtract 81 from 208 to get 127.

$$\left(\frac{127}{16}-\frac{25}{16}\right)\times \frac{1}{2}$$

Since \frac{127}{16} and \frac{25}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{127-25}{16}\times \frac{1}{2}$$

Subtract 25 from 127 to get 102.

$$\frac{102}{16}\times \frac{1}{2}$$

Reduce the fraction \frac{102}{16} to lowest terms by extracting and canceling out 2.

$$\frac{51}{8}\times \frac{1}{2}$$

Multiply \frac{51}{8} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{51\times 1}{8\times 2}$$

Do the multiplications in the fraction \frac{51\times 1}{8\times 2}.

$$\frac{51}{16}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {4}} = 3\frac{3}{16} = 3.1875$$