Solve 87.5%+84.25%/2

$$\frac{ 87.5 \% +84.25 \% }{ 2 }$$

Evaluate

$$0.85875$$

Solution Steps

Expand \frac{87.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{875}{1000}+\frac{84.25}{100}}{2}$$

Reduce the fraction \frac{875}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{\frac{7}{8}+\frac{84.25}{100}}{2}$$

Expand \frac{84.25}{100} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{7}{8}+\frac{8425}{10000}}{2}$$

Reduce the fraction \frac{8425}{10000} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{7}{8}+\frac{337}{400}}{2}$$

Least common multiple of 8 and 400 is 400. Convert \frac{7}{8} and \frac{337}{400} to fractions with denominator 400.

$$\frac{\frac{350}{400}+\frac{337}{400}}{2}$$

Since \frac{350}{400} and \frac{337}{400} have the same denominator, add them by adding their numerators.

$$\frac{\frac{350+337}{400}}{2}$$

Add 350 and 337 to get 687.

$$\frac{\frac{687}{400}}{2}$$

Express \frac{\frac{687}{400}}{2} as a single fraction.

$$\frac{687}{400\times 2}$$

Multiply 400 and 2 to get 800.

$$\frac{687}{800}$$

Factor

$$\frac{3 \cdot 229}{2 ^ {5} \cdot 5 ^ {2}} = 0.85875$$