Solve 286.32*15%/85

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

Evaluate

$$\frac{10737}{21250}\approx 0.505270588$$

Solution Steps

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

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

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.

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

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

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

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

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

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

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

Express \frac{\frac{10737}{250}}{85} as a single fraction.

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

Multiply 250 and 85 to get 21250.

$$\frac{10737}{21250}$$

Factor

$$\frac{1193 \cdot 3 ^ {2}}{2 \cdot 17 \cdot 5 ^ {4}} = 0.5052705882352941$$