Solve 180/left(1-0.01*16right)left(1-frac{22{430}right)}

$$\frac{ 180 }{ \left( 1-0.01 \cdot 16 \right) \left( 1- \frac{ 22 }{ 430 } \right) }$$

Evaluate

$$\frac{26875}{119}\approx 225.840336134$$

Solution Steps

Multiply 0.01 and 16 to get 0.16.

$$\frac{180}{\left(1-0.16\right)\left(1-\frac{22}{430}\right)}$$

Subtract 0.16 from 1 to get 0.84.

$$\frac{180}{0.84\left(1-\frac{22}{430}\right)}$$

Reduce the fraction \frac{22}{430} to lowest terms by extracting and canceling out 2.

$$\frac{180}{0.84\left(1-\frac{11}{215}\right)}$$

Convert 1 to fraction \frac{215}{215}.

$$\frac{180}{0.84\left(\frac{215}{215}-\frac{11}{215}\right)}$$

Since \frac{215}{215} and \frac{11}{215} have the same denominator, subtract them by subtracting their numerators.

$$\frac{180}{0.84\times \frac{215-11}{215}}$$

Subtract 11 from 215 to get 204.

$$\frac{180}{0.84\times \frac{204}{215}}$$

Convert decimal number 0.84 to fraction \frac{84}{100}. Reduce the fraction \frac{84}{100} to lowest terms by extracting and canceling out 4.

$$\frac{180}{\frac{21}{25}\times \frac{204}{215}}$$

Multiply \frac{21}{25} times \frac{204}{215} by multiplying numerator times numerator and denominator times denominator.

$$\frac{180}{\frac{21\times 204}{25\times 215}}$$

Do the multiplications in the fraction \frac{21\times 204}{25\times 215}.

$$\frac{180}{\frac{4284}{5375}}$$

Divide 180 by \frac{4284}{5375} by multiplying 180 by the reciprocal of \frac{4284}{5375}.

$$180\times \frac{5375}{4284}$$

Express 180\times \frac{5375}{4284} as a single fraction.

$$\frac{180\times 5375}{4284}$$

Multiply 180 and 5375 to get 967500.

$$\frac{967500}{4284}$$

Reduce the fraction \frac{967500}{4284} to lowest terms by extracting and canceling out 36.

$$\frac{26875}{119}$$

Factor

$$\frac{43 \cdot 5 ^ {4}}{7 \cdot 17} = 225\frac{100}{119} = 225.8403361344538$$