Solve 15-15/4/2+15/4

$$\frac { 15 - \frac { 15 } { 4 } } { 2 } + \frac { 15 } { 4 }$$

Evaluate

$$\frac{75}{8}=9.375$$

Solution Steps

Convert 15 to fraction \frac{60}{4}.

$$\frac{\frac{60}{4}-\frac{15}{4}}{2}+\frac{15}{4}$$

Since \frac{60}{4} and \frac{15}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{60-15}{4}}{2}+\frac{15}{4}$$

Subtract 15 from 60 to get 45.

$$\frac{\frac{45}{4}}{2}+\frac{15}{4}$$

Express \frac{\frac{45}{4}}{2} as a single fraction.

$$\frac{45}{4\times 2}+\frac{15}{4}$$

Multiply 4 and 2 to get 8.

$$\frac{45}{8}+\frac{15}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{45}{8} and \frac{15}{4} to fractions with denominator 8.

$$\frac{45}{8}+\frac{30}{8}$$

Since \frac{45}{8} and \frac{30}{8} have the same denominator, add them by adding their numerators.

$$\frac{45+30}{8}$$

Add 45 and 30 to get 75.

$$\frac{75}{8}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2 ^ {3}} = 9\frac{3}{8} = 9.375$$