Solve 366%53.5%8

$$366 \% 53.5 \% 8$$

Evaluate

$$15.6648$$

Solution Steps

Reduce the fraction \frac{366}{100} to lowest terms by extracting and canceling out 2.

$$\frac{183}{50}\times \frac{53.5}{100}\times 8$$

Expand \frac{53.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{183}{50}\times \frac{535}{1000}\times 8$$

Reduce the fraction \frac{535}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{183}{50}\times \frac{107}{200}\times 8$$

Multiply \frac{183}{50} times \frac{107}{200} by multiplying numerator times numerator and denominator times denominator.

$$\frac{183\times 107}{50\times 200}\times 8$$

Do the multiplications in the fraction \frac{183\times 107}{50\times 200}.

$$\frac{19581}{10000}\times 8$$

Express \frac{19581}{10000}\times 8 as a single fraction.

$$\frac{19581\times 8}{10000}$$

Multiply 19581 and 8 to get 156648.

$$\frac{156648}{10000}$$

Reduce the fraction \frac{156648}{10000} to lowest terms by extracting and canceling out 8.

$$\frac{19581}{1250}$$

Factor

$$\frac{3 \cdot 61 \cdot 107}{2 \cdot 5 ^ {4}} = 15\frac{831}{1250} = 15.6648$$