Solve 286.32*15%/85%

$$\frac{ 286.32 \times 15 \% }{ 85 \% }$$

Evaluate

$$\frac{21474}{425}\approx 50.527058824$$

Solution Steps

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{286.32\times \frac{3}{20}}{\frac{85}{100}}$$

Convert decimal number 286.32 to fraction \frac{28632}{100}. Reduce the fraction \frac{28632}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{7158}{25}\times \frac{3}{20}}{\frac{85}{100}}$$

Multiply \frac{7158}{25} times \frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7158\times 3}{25\times 20}}{\frac{85}{100}}$$

Do the multiplications in the fraction \frac{7158\times 3}{25\times 20}.

$$\frac{\frac{21474}{500}}{\frac{85}{100}}$$

Reduce the fraction \frac{21474}{500} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{10737}{250}}{\frac{85}{100}}$$

Reduce the fraction \frac{85}{100} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{10737}{250}}{\frac{17}{20}}$$

Divide \frac{10737}{250} by \frac{17}{20} by multiplying \frac{10737}{250} by the reciprocal of \frac{17}{20}.

$$\frac{10737}{250}\times \frac{20}{17}$$

Multiply \frac{10737}{250} times \frac{20}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10737\times 20}{250\times 17}$$

Do the multiplications in the fraction \frac{10737\times 20}{250\times 17}.

$$\frac{214740}{4250}$$

Reduce the fraction \frac{214740}{4250} to lowest terms by extracting and canceling out 10.

$$\frac{21474}{425}$$

Factor

$$\frac{2 \cdot 1193 \cdot 3 ^ {2}}{17 \cdot 5 ^ {2}} = 50\frac{224}{425} = 50.52705882352941$$