Solve (2/5div4/-7)div1/-2

$$( \frac { 2 } { 5 } \div \frac { 4 } { - 7 } ) \div \frac { 1 } { - 2 }$$

Evaluate

$$\frac{7}{5}=1.4$$

Solution Steps

Divide \frac{\frac{2}{5}}{\frac{4}{-7}} by \frac{1}{-2} by multiplying \frac{\frac{2}{5}}{\frac{4}{-7}} by the reciprocal of \frac{1}{-2}.

$$\frac{\frac{2}{5}\left(-2\right)}{\frac{4}{-7}}$$

Express \frac{2}{5}\left(-2\right) as a single fraction.

$$\frac{\frac{2\left(-2\right)}{5}}{\frac{4}{-7}}$$

Multiply 2 and -2 to get -4.

$$\frac{\frac{-4}{5}}{\frac{4}{-7}}$$

Fraction \frac{-4}{5} can be rewritten as -\frac{4}{5} by extracting the negative sign.

$$\frac{-\frac{4}{5}}{\frac{4}{-7}}$$

Fraction \frac{4}{-7} can be rewritten as -\frac{4}{7} by extracting the negative sign.

$$\frac{-\frac{4}{5}}{-\frac{4}{7}}$$

Divide -\frac{4}{5} by -\frac{4}{7} by multiplying -\frac{4}{5} by the reciprocal of -\frac{4}{7}.

$$-\frac{4}{5}\left(-\frac{7}{4}\right)$$

Multiply -\frac{4}{5} times -\frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\left(-7\right)}{5\times 4}$$

Do the multiplications in the fraction \frac{-4\left(-7\right)}{5\times 4}.

$$\frac{28}{20}$$

Reduce the fraction \frac{28}{20} to lowest terms by extracting and canceling out 4.

$$\frac{7}{5}$$

Factor

$$\frac{7}{5} = 1\frac{2}{5} = 1.4$$