Solve 4/5(7/5-1)/frac{2{9}-3}

$$\frac { \frac { 4 } { 5 } ( \frac { 7 } { 5 } - 1 ) } { \frac { 2 } { 9 } - 3 }$$

Evaluate

$$-\frac{72}{625}=-0.1152$$

Solution Steps

Convert 1 to fraction \frac{5}{5}.

$$\frac{\frac{4}{5}\left(\frac{7}{5}-\frac{5}{5}\right)}{\frac{2}{9}-3}$$

Since \frac{7}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4}{5}\times \frac{7-5}{5}}{\frac{2}{9}-3}$$

Subtract 5 from 7 to get 2.

$$\frac{\frac{4}{5}\times \frac{2}{5}}{\frac{2}{9}-3}$$

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

$$\frac{\frac{4\times 2}{5\times 5}}{\frac{2}{9}-3}$$

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

$$\frac{\frac{8}{25}}{\frac{2}{9}-3}$$

Convert 3 to fraction \frac{27}{9}.

$$\frac{\frac{8}{25}}{\frac{2}{9}-\frac{27}{9}}$$

Since \frac{2}{9} and \frac{27}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{8}{25}}{\frac{2-27}{9}}$$

Subtract 27 from 2 to get -25.

$$\frac{\frac{8}{25}}{-\frac{25}{9}}$$

Divide \frac{8}{25} by -\frac{25}{9} by multiplying \frac{8}{25} by the reciprocal of -\frac{25}{9}.

$$\frac{8}{25}\left(-\frac{9}{25}\right)$$

Multiply \frac{8}{25} times -\frac{9}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\left(-9\right)}{25\times 25}$$

Do the multiplications in the fraction \frac{8\left(-9\right)}{25\times 25}.

$$\frac{-72}{625}$$

Fraction \frac{-72}{625} can be rewritten as -\frac{72}{625} by extracting the negative sign.

$$-\frac{72}{625}$$

Factor

$$-\frac{72}{625} = -0.1152$$