Solve 24%text{of}75.86

$$24 \% \text { of } 75.86$$

Evaluate

$$18.2064$$

Solution Steps

Reduce the fraction \frac{24}{100} to lowest terms by extracting and canceling out 4.

$$\frac{6}{25}\times 75.86$$

Convert decimal number 75.86 to fraction \frac{7586}{100}. Reduce the fraction \frac{7586}{100} to lowest terms by extracting and canceling out 2.

$$\frac{6}{25}\times \frac{3793}{50}$$

Multiply \frac{6}{25} times \frac{3793}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 3793}{25\times 50}$$

Do the multiplications in the fraction \frac{6\times 3793}{25\times 50}.

$$\frac{22758}{1250}$$

Reduce the fraction \frac{22758}{1250} to lowest terms by extracting and canceling out 2.

$$\frac{11379}{625}$$

Factor

$$\frac{3 \cdot 3793}{5 ^ {4}} = 18\frac{129}{625} = 18.2064$$