Solve 41/2*(-12/3)div3div3/4

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

Evaluate

$$-\frac{10}{3}\approx -3.333333333$$

Solution Steps

Divide \frac{\frac{4\times 2+1}{2}\left(-\frac{1\times 3+2}{3}\right)}{3} by \frac{3}{4} by multiplying \frac{\frac{4\times 2+1}{2}\left(-\frac{1\times 3+2}{3}\right)}{3} by the reciprocal of \frac{3}{4}.

$$\frac{\frac{4\times 2+1}{2}\left(-\frac{1\times 3+2}{3}\right)\times 4}{3\times 3}$$

Multiply 4 and 2 to get 8.

$$\frac{\frac{8+1}{2}\left(-\frac{1\times 3+2}{3}\right)\times 4}{3\times 3}$$

Add 8 and 1 to get 9.

$$\frac{\frac{9}{2}\left(-\frac{1\times 3+2}{3}\right)\times 4}{3\times 3}$$

Multiply 1 and 3 to get 3.

$$\frac{\frac{9}{2}\left(-\frac{3+2}{3}\right)\times 4}{3\times 3}$$

Add 3 and 2 to get 5.

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

Multiply \frac{9}{2} times -\frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{9\left(-5\right)}{2\times 3}.

$$\frac{\frac{-45}{6}\times 4}{3\times 3}$$

Reduce the fraction \frac{-45}{6} to lowest terms by extracting and canceling out 3.

$$\frac{-\frac{15}{2}\times 4}{3\times 3}$$

Express -\frac{15}{2}\times 4 as a single fraction.

$$\frac{\frac{-15\times 4}{2}}{3\times 3}$$

Multiply -15 and 4 to get -60.

$$\frac{\frac{-60}{2}}{3\times 3}$$

Divide -60 by 2 to get -30.

$$\frac{-30}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{-30}{9}$$

Reduce the fraction \frac{-30}{9} to lowest terms by extracting and canceling out 3.

$$-\frac{10}{3}$$

Factor

$$-\frac{10}{3} = -3\frac{1}{3} = -3.3333333333333335$$