Solve 59/16-5/4

$$5 \frac { 9 } { 16 } - \frac { 5 } { 4 }$$

Evaluate

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

Solution Steps

Multiply 5 and 16 to get 80.

$$\frac{80+9}{16}-\frac{5}{4}$$

Add 80 and 9 to get 89.

$$\frac{89}{16}-\frac{5}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{89}{16} and \frac{5}{4} to fractions with denominator 16.

$$\frac{89}{16}-\frac{20}{16}$$

Since \frac{89}{16} and \frac{20}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{89-20}{16}$$

Subtract 20 from 89 to get 69.

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

Factor

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