Solve 3/5div7/10*(-15/9)=

$$\frac { 3 } { 5 } \div \frac { 7 } { 10 } \times ( - 1 \frac { 5 } { 9 } ) =$$

Evaluate

$$-\frac{4}{3}\approx -1.333333333$$

Solution Steps

Divide \frac{3}{5} by \frac{7}{10} by multiplying \frac{3}{5} by the reciprocal of \frac{7}{10}.

$$\frac{3}{5}\times \frac{10}{7}\left(-\frac{1\times 9+5}{9}\right)$$

Multiply \frac{3}{5} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 10}{5\times 7}\left(-\frac{1\times 9+5}{9}\right)$$

Do the multiplications in the fraction \frac{3\times 10}{5\times 7}.

$$\frac{30}{35}\left(-\frac{1\times 9+5}{9}\right)$$

Reduce the fraction \frac{30}{35} to lowest terms by extracting and canceling out 5.

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

Multiply 1 and 9 to get 9.

$$\frac{6}{7}\left(-\frac{9+5}{9}\right)$$

Add 9 and 5 to get 14.

$$\frac{6}{7}\left(-\frac{14}{9}\right)$$

Multiply \frac{6}{7} times -\frac{14}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\left(-14\right)}{7\times 9}$$

Do the multiplications in the fraction \frac{6\left(-14\right)}{7\times 9}.

$$\frac{-84}{63}$$

Reduce the fraction \frac{-84}{63} to lowest terms by extracting and canceling out 21.

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

Factor

$$-\frac{4}{3} = -1\frac{1}{3} = -1.3333333333333333$$