Solve 300*6.67%/frac{1*2{18}*1}

$$\frac{ 300 \times 6.67 \% }{ \frac{ 1 \times 2 }{ 18 } \times 1 }$$

Evaluate

$$180.09$$

Solution Steps

Expand \frac{6.67}{100} by multiplying both numerator and the denominator by 100.

$$\frac{300\times \frac{667}{10000}}{\frac{1\times 2}{18}\times 1}$$

Express 300\times \frac{667}{10000} as a single fraction.

$$\frac{\frac{300\times 667}{10000}}{\frac{1\times 2}{18}\times 1}$$

Multiply 300 and 667 to get 200100.

$$\frac{\frac{200100}{10000}}{\frac{1\times 2}{18}\times 1}$$

Reduce the fraction \frac{200100}{10000} to lowest terms by extracting and canceling out 100.

$$\frac{\frac{2001}{100}}{\frac{1\times 2}{18}\times 1}$$

Multiply 1 and 2 to get 2.

$$\frac{\frac{2001}{100}}{\frac{2}{18}\times 1}$$

Reduce the fraction \frac{2}{18} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{2001}{100}}{\frac{1}{9}\times 1}$$

Multiply \frac{1}{9} and 1 to get \frac{1}{9}.

$$\frac{\frac{2001}{100}}{\frac{1}{9}}$$

Divide \frac{2001}{100} by \frac{1}{9} by multiplying \frac{2001}{100} by the reciprocal of \frac{1}{9}.

$$\frac{2001}{100}\times 9$$

Express \frac{2001}{100}\times 9 as a single fraction.

$$\frac{2001\times 9}{100}$$

Multiply 2001 and 9 to get 18009.

$$\frac{18009}{100}$$

Factor

$$\frac{23 \cdot 29 \cdot 3 ^ {3}}{2 ^ {2} \cdot 5 ^ {2}} = 180\frac{9}{100} = 180.09$$