Solve -4/5(3/4*2/5/2-frac{1{2}})

$$- \frac { 4 } { 5 } ( \frac { \frac { 3 } { 4 } \cdot \frac { 2 } { 5 } } { 2 - \frac { 1 } { 2 } } )$$

Evaluate

$$-\frac{4}{25}=-0.16$$

Solution Steps

Multiply \frac{3}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 2}{4\times 5}.

$$-\frac{4}{5}\times \frac{\frac{6}{20}}{2-\frac{1}{2}}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

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

Convert 2 to fraction \frac{4}{2}.

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

Since \frac{4}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 4 to get 3.

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

Divide \frac{3}{10} by \frac{3}{2} by multiplying \frac{3}{10} by the reciprocal of \frac{3}{2}.

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

Multiply \frac{3}{10} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 3 in both numerator and denominator.

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

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

$$-\frac{4}{5}\times \frac{1}{5}$$

Multiply -\frac{4}{5} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

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

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

$$\frac{-4}{25}$$

Fraction \frac{-4}{25} can be rewritten as -\frac{4}{25} by extracting the negative sign.

$$-\frac{4}{25}$$

Factor

$$-\frac{4}{25} = -0.16$$