Solve (81/16)-3/4

$$( \frac { 81 } { 16 } ) - \frac { 3 } { 4 }$$

Evaluate

$$\frac{69}{16}=4.3125$$

Solution Steps

Least common multiple of 16 and 4 is 16. Convert \frac{81}{16} and \frac{3}{4} to fractions with denominator 16.

$$\frac{81}{16}-\frac{12}{16}$$

Since \frac{81}{16} and \frac{12}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-12}{16}$$

Subtract 12 from 81 to get 69.

$$\frac{69}{16}$$

Factor

$$\frac{3 \cdot 23}{2 ^ {4}} = 4\frac{5}{16} = 4.3125$$