Solve 12(1-22%)/96

$$\frac { 12 ( 1 - 22 \% ) } { 96 }$$

Evaluate

$$\frac{39}{400}=0.0975$$

Solution Steps

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

$$\frac{12\left(1-\frac{11}{50}\right)}{96}$$

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

$$\frac{12\left(\frac{50}{50}-\frac{11}{50}\right)}{96}$$

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

$$\frac{12\times \frac{50-11}{50}}{96}$$

Subtract 11 from 50 to get 39.

$$\frac{12\times \frac{39}{50}}{96}$$

Express 12\times \frac{39}{50} as a single fraction.

$$\frac{\frac{12\times 39}{50}}{96}$$

Multiply 12 and 39 to get 468.

$$\frac{\frac{468}{50}}{96}$$

Reduce the fraction \frac{468}{50} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{234}{25}}{96}$$

Express \frac{\frac{234}{25}}{96} as a single fraction.

$$\frac{234}{25\times 96}$$

Multiply 25 and 96 to get 2400.

$$\frac{234}{2400}$$

Reduce the fraction \frac{234}{2400} to lowest terms by extracting and canceling out 6.

$$\frac{39}{400}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {4} \cdot 5 ^ {2}} = 0.0975$$