Solve 20*187/1.5*.8*(4-.8)/168.3-(4-.8)

$$\frac{ 20 \times \frac{ 187 }{ 1.5 } \times .8 \times (4-.8) }{ 168.3-(4-.8) }$$

Evaluate

$$\frac{191488}{4953}\approx 38.661013527$$

Solution Steps

Expand \frac{187}{1.5} by multiplying both numerator and the denominator by 10.

$$\frac{20\times \frac{1870}{15}\times 0.8\left(4-0.8\right)}{168.3-\left(4-0.8\right)}$$

Reduce the fraction \frac{1870}{15} to lowest terms by extracting and canceling out 5.

$$\frac{20\times \frac{374}{3}\times 0.8\left(4-0.8\right)}{168.3-\left(4-0.8\right)}$$

Express 20\times \frac{374}{3} as a single fraction.

$$\frac{\frac{20\times 374}{3}\times 0.8\left(4-0.8\right)}{168.3-\left(4-0.8\right)}$$

Multiply 20 and 374 to get 7480.

$$\frac{\frac{7480}{3}\times 0.8\left(4-0.8\right)}{168.3-\left(4-0.8\right)}$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{7480}{3}\times \frac{4}{5}\left(4-0.8\right)}{168.3-\left(4-0.8\right)}$$

Multiply \frac{7480}{3} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7480\times 4}{3\times 5}\left(4-0.8\right)}{168.3-\left(4-0.8\right)}$$

Do the multiplications in the fraction \frac{7480\times 4}{3\times 5}.

$$\frac{\frac{29920}{15}\left(4-0.8\right)}{168.3-\left(4-0.8\right)}$$

Reduce the fraction \frac{29920}{15} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{5984}{3}\left(4-0.8\right)}{168.3-\left(4-0.8\right)}$$

Subtract 0.8 from 4 to get 3.2.

$$\frac{\frac{5984}{3}\times 3.2}{168.3-\left(4-0.8\right)}$$

Convert decimal number 3.2 to fraction \frac{32}{10}. Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{5984}{3}\times \frac{16}{5}}{168.3-\left(4-0.8\right)}$$

Multiply \frac{5984}{3} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{5984\times 16}{3\times 5}}{168.3-\left(4-0.8\right)}$$

Do the multiplications in the fraction \frac{5984\times 16}{3\times 5}.

$$\frac{\frac{95744}{15}}{168.3-\left(4-0.8\right)}$$

Subtract 0.8 from 4 to get 3.2.

$$\frac{\frac{95744}{15}}{168.3-3.2}$$

Subtract 3.2 from 168.3 to get 165.1.

$$\frac{\frac{95744}{15}}{165.1}$$

Express \frac{\frac{95744}{15}}{165.1} as a single fraction.

$$\frac{95744}{15\times 165.1}$$

Multiply 15 and 165.1 to get 2476.5.

$$\frac{95744}{2476.5}$$

Expand \frac{95744}{2476.5} by multiplying both numerator and the denominator by 10.

$$\frac{957440}{24765}$$

Reduce the fraction \frac{957440}{24765} to lowest terms by extracting and canceling out 5.

$$\frac{191488}{4953}$$

Factor

$$\frac{11 \cdot 17 \cdot 2 ^ {10}}{3 \cdot 13 \cdot 127} = 38\frac{3274}{4953} = 38.66101352715526$$