Solve 6/6*1/10*4/frac{3-5*2{8}}

$$\frac { \frac { 6 } { 6 } \times \frac { 1 } { 10 } \times 4 } { \frac { 3 - 5 \times 2 } { 8 } }$$

Evaluate

$$-\frac{16}{35}\approx -0.457142857$$

Solution Steps

Divide 6 by 6 to get 1.

$$\frac{1\times \frac{1}{10}\times 4}{\frac{3-5\times 2}{8}}$$

Multiply 1 and \frac{1}{10} to get \frac{1}{10}.

$$\frac{\frac{1}{10}\times 4}{\frac{3-5\times 2}{8}}$$

Multiply \frac{1}{10} and 4 to get \frac{4}{10}.

$$\frac{\frac{4}{10}}{\frac{3-5\times 2}{8}}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{2}{5}}{\frac{3-5\times 2}{8}}$$

Multiply 5 and 2 to get 10.

$$\frac{\frac{2}{5}}{\frac{3-10}{8}}$$

Subtract 10 from 3 to get -7.

$$\frac{\frac{2}{5}}{\frac{-7}{8}}$$

Fraction \frac{-7}{8} can be rewritten as -\frac{7}{8} by extracting the negative sign.

$$\frac{\frac{2}{5}}{-\frac{7}{8}}$$

Divide \frac{2}{5} by -\frac{7}{8} by multiplying \frac{2}{5} by the reciprocal of -\frac{7}{8}.

$$\frac{2}{5}\left(-\frac{8}{7}\right)$$

Multiply \frac{2}{5} times -\frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-8\right)}{5\times 7}$$

Do the multiplications in the fraction \frac{2\left(-8\right)}{5\times 7}.

$$\frac{-16}{35}$$

Fraction \frac{-16}{35} can be rewritten as -\frac{16}{35} by extracting the negative sign.

$$-\frac{16}{35}$$

Factor

$$-\frac{16}{35} = -0.45714285714285713$$