Solve 125(1-22%)/96

$$\frac { 125 ( 1 - 22 \% ) } { 96 }$$

Evaluate

$$\frac{65}{64}=1.015625$$

Solution Steps

Reduce the fraction \frac{22}{100} to lowest terms by extracting and canceling out 2.

$$\frac{125\left(1-\frac{11}{50}\right)}{96}$$

Convert 1 to fraction \frac{50}{50}.

$$\frac{125\left(\frac{50}{50}-\frac{11}{50}\right)}{96}$$

Since \frac{50}{50} and \frac{11}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125\times \frac{50-11}{50}}{96}$$

Subtract 11 from 50 to get 39.

$$\frac{125\times \frac{39}{50}}{96}$$

Express 125\times \frac{39}{50} as a single fraction.

$$\frac{\frac{125\times 39}{50}}{96}$$

Multiply 125 and 39 to get 4875.

$$\frac{\frac{4875}{50}}{96}$$

Reduce the fraction \frac{4875}{50} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{195}{2}}{96}$$

Express \frac{\frac{195}{2}}{96} as a single fraction.

$$\frac{195}{2\times 96}$$

Multiply 2 and 96 to get 192.

$$\frac{195}{192}$$

Reduce the fraction \frac{195}{192} to lowest terms by extracting and canceling out 3.

$$\frac{65}{64}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {6}} = 1\frac{1}{64} = 1.015625$$