Solve 41/2*(-12/3)div(3div3/4)

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

Evaluate

$$-\frac{15}{8}=-1.875$$

Solution Steps

Multiply 4 and 2 to get 8.

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

Add 8 and 1 to get 9.

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

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

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

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

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

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

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

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

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

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

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

Cancel out 3 and 3.

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

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

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

Multiply 2 and 4 to get 8.

$$\frac{-15}{8}$$

Fraction \frac{-15}{8} can be rewritten as -\frac{15}{8} by extracting the negative sign.

$$-\frac{15}{8}$$

Factor

$$-\frac{15}{8} = -1\frac{7}{8} = -1.875$$