Solve 31/2*(-51/7)div(14/5)

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

Evaluate

$$-10$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{\frac{6+1}{2}\left(-\frac{5\times 7+1}{7}\right)}{\frac{1\times 5+4}{5}}$$

Add 6 and 1 to get 7.

$$\frac{\frac{7}{2}\left(-\frac{5\times 7+1}{7}\right)}{\frac{1\times 5+4}{5}}$$

Multiply 5 and 7 to get 35.

$$\frac{\frac{7}{2}\left(-\frac{35+1}{7}\right)}{\frac{1\times 5+4}{5}}$$

Add 35 and 1 to get 36.

$$\frac{\frac{7}{2}\left(-\frac{36}{7}\right)}{\frac{1\times 5+4}{5}}$$

Multiply \frac{7}{2} times -\frac{36}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7\left(-36\right)}{2\times 7}}{\frac{1\times 5+4}{5}}$$

Cancel out 7 in both numerator and denominator.

$$\frac{\frac{-36}{2}}{\frac{1\times 5+4}{5}}$$

Divide -36 by 2 to get -18.

$$\frac{-18}{\frac{1\times 5+4}{5}}$$

Multiply 1 and 5 to get 5.

$$\frac{-18}{\frac{5+4}{5}}$$

Add 5 and 4 to get 9.

$$\frac{-18}{\frac{9}{5}}$$

Divide -18 by \frac{9}{5} by multiplying -18 by the reciprocal of \frac{9}{5}.

$$-18\times \frac{5}{9}$$

Express -18\times \frac{5}{9} as a single fraction.

$$\frac{-18\times 5}{9}$$

Multiply -18 and 5 to get -90.

$$\frac{-90}{9}$$

Divide -90 by 9 to get -10.

$$-10$$

Factor

$$-10$$