Solve (-6/5*15/24)div(7/9*-117/28)

$$( \frac { - 6 } { 5 } \times \frac { 15 } { 24 } ) \div ( \frac { 7 } { 9 } \times - 1 \frac { 17 } { 28 } )$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Fraction \frac{-6}{5} can be rewritten as -\frac{6}{5} by extracting the negative sign.

$$\frac{-\frac{6}{5}\times \frac{15}{24}}{\frac{7}{9}\left(-\frac{1\times 28+17}{28}\right)}$$

Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.

$$\frac{-\frac{6}{5}\times \frac{5}{8}}{\frac{7}{9}\left(-\frac{1\times 28+17}{28}\right)}$$

Multiply -\frac{6}{5} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{-6\times 5}{5\times 8}}{\frac{7}{9}\left(-\frac{1\times 28+17}{28}\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{\frac{-6}{8}}{\frac{7}{9}\left(-\frac{1\times 28+17}{28}\right)}$$

Reduce the fraction \frac{-6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{3}{4}}{\frac{7}{9}\left(-\frac{1\times 28+17}{28}\right)}$$

Multiply 1 and 28 to get 28.

$$\frac{-\frac{3}{4}}{\frac{7}{9}\left(-\frac{28+17}{28}\right)}$$

Add 28 and 17 to get 45.

$$\frac{-\frac{3}{4}}{\frac{7}{9}\left(-\frac{45}{28}\right)}$$

Multiply \frac{7}{9} times -\frac{45}{28} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\frac{3}{4}}{\frac{7\left(-45\right)}{9\times 28}}$$

Do the multiplications in the fraction \frac{7\left(-45\right)}{9\times 28}.

$$\frac{-\frac{3}{4}}{\frac{-315}{252}}$$

Reduce the fraction \frac{-315}{252} to lowest terms by extracting and canceling out 63.

$$\frac{-\frac{3}{4}}{-\frac{5}{4}}$$

Divide -\frac{3}{4} by -\frac{5}{4} by multiplying -\frac{3}{4} by the reciprocal of -\frac{5}{4}.

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

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

$$\frac{-3\left(-4\right)}{4\times 5}$$

Do the multiplications in the fraction \frac{-3\left(-4\right)}{4\times 5}.

$$\frac{12}{20}$$

Reduce the fraction \frac{12}{20} to lowest terms by extracting and canceling out 4.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$