Solve 20*187/15*8*(4-8)/1683-(4-8)

$$\frac{ 20 \times \frac{ 187 }{ 15 } \times 8 \times (4-8) }{ 1683-(4-8) }$$

Evaluate

$$-\frac{23936}{5061}\approx -4.729500099$$

Solution Steps

Express 20\times \frac{187}{15} as a single fraction.

$$\frac{\frac{20\times 187}{15}\times 8\left(4-8\right)}{1683-\left(4-8\right)}$$

Multiply 20 and 187 to get 3740.

$$\frac{\frac{3740}{15}\times 8\left(4-8\right)}{1683-\left(4-8\right)}$$

Reduce the fraction \frac{3740}{15} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{748}{3}\times 8\left(4-8\right)}{1683-\left(4-8\right)}$$

Express \frac{748}{3}\times 8 as a single fraction.

$$\frac{\frac{748\times 8}{3}\left(4-8\right)}{1683-\left(4-8\right)}$$

Multiply 748 and 8 to get 5984.

$$\frac{\frac{5984}{3}\left(4-8\right)}{1683-\left(4-8\right)}$$

Subtract 8 from 4 to get -4.

$$\frac{\frac{5984}{3}\left(-4\right)}{1683-\left(4-8\right)}$$

Express \frac{5984}{3}\left(-4\right) as a single fraction.

$$\frac{\frac{5984\left(-4\right)}{3}}{1683-\left(4-8\right)}$$

Multiply 5984 and -4 to get -23936.

$$\frac{\frac{-23936}{3}}{1683-\left(4-8\right)}$$

Fraction \frac{-23936}{3} can be rewritten as -\frac{23936}{3} by extracting the negative sign.

$$\frac{-\frac{23936}{3}}{1683-\left(4-8\right)}$$

Subtract 8 from 4 to get -4.

$$\frac{-\frac{23936}{3}}{1683-\left(-4\right)}$$

The opposite of -4 is 4.

$$\frac{-\frac{23936}{3}}{1683+4}$$

Add 1683 and 4 to get 1687.

$$\frac{-\frac{23936}{3}}{1687}$$

Express \frac{-\frac{23936}{3}}{1687} as a single fraction.

$$\frac{-23936}{3\times 1687}$$

Multiply 3 and 1687 to get 5061.

$$\frac{-23936}{5061}$$

Fraction \frac{-23936}{5061} can be rewritten as -\frac{23936}{5061} by extracting the negative sign.

$$-\frac{23936}{5061}$$

Factor

$$-\frac{23936}{5061} = -4\frac{3692}{5061} = -4.729500098794705$$