Solve 238*3.2%/235-235*32%

$$\frac { 238 \times 3.2 \% } { 235 - 235 \times 32 \% }$$

Evaluate

$$\frac{56}{1175}\approx 0.047659574$$

Solution Steps

Expand \frac{3.2}{100} by multiplying both numerator and the denominator by 10.

$$\frac{238\times \frac{32}{1000}}{235-235\times \frac{32}{100}}$$

Reduce the fraction \frac{32}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{238\times \frac{4}{125}}{235-235\times \frac{32}{100}}$$

Express 238\times \frac{4}{125} as a single fraction.

$$\frac{\frac{238\times 4}{125}}{235-235\times \frac{32}{100}}$$

Multiply 238 and 4 to get 952.

$$\frac{\frac{952}{125}}{235-235\times \frac{32}{100}}$$

Reduce the fraction \frac{32}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{952}{125}}{235-235\times \frac{8}{25}}$$

Express 235\times \frac{8}{25} as a single fraction.

$$\frac{\frac{952}{125}}{235-\frac{235\times 8}{25}}$$

Multiply 235 and 8 to get 1880.

$$\frac{\frac{952}{125}}{235-\frac{1880}{25}}$$

Reduce the fraction \frac{1880}{25} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{952}{125}}{235-\frac{376}{5}}$$

Convert 235 to fraction \frac{1175}{5}.

$$\frac{\frac{952}{125}}{\frac{1175}{5}-\frac{376}{5}}$$

Since \frac{1175}{5} and \frac{376}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{952}{125}}{\frac{1175-376}{5}}$$

Subtract 376 from 1175 to get 799.

$$\frac{\frac{952}{125}}{\frac{799}{5}}$$

Divide \frac{952}{125} by \frac{799}{5} by multiplying \frac{952}{125} by the reciprocal of \frac{799}{5}.

$$\frac{952}{125}\times \frac{5}{799}$$

Multiply \frac{952}{125} times \frac{5}{799} by multiplying numerator times numerator and denominator times denominator.

$$\frac{952\times 5}{125\times 799}$$

Do the multiplications in the fraction \frac{952\times 5}{125\times 799}.

$$\frac{4760}{99875}$$

Reduce the fraction \frac{4760}{99875} to lowest terms by extracting and canceling out 85.

$$\frac{56}{1175}$$

Factor

$$\frac{7 \cdot 2 ^ {3}}{47 \cdot 5 ^ {2}} = 0.04765957446808511$$