Solve (3/-4)(52/4)(-7/2)=

$$( \frac { 3 } { - 4 } ) ( 5 \frac { 2 } { 4 } ) ( \frac { - 7 } { 2 } ) =$$

Evaluate

$$\frac{231}{16}=14.4375$$

Solution Steps

Fraction \frac{3}{-4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$-\frac{3}{4}\times \frac{5\times 4+2}{4}\times \frac{-7}{2}$$

Multiply 5 and 4 to get 20.

$$-\frac{3}{4}\times \frac{20+2}{4}\times \frac{-7}{2}$$

Add 20 and 2 to get 22.

$$-\frac{3}{4}\times \frac{22}{4}\times \frac{-7}{2}$$

Reduce the fraction \frac{22}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{4}\times \frac{11}{2}\times \frac{-7}{2}$$

Multiply -\frac{3}{4} times \frac{11}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 11}{4\times 2}\times \frac{-7}{2}$$

Do the multiplications in the fraction \frac{-3\times 11}{4\times 2}.

$$\frac{-33}{8}\times \frac{-7}{2}$$

Fraction \frac{-33}{8} can be rewritten as -\frac{33}{8} by extracting the negative sign.

$$-\frac{33}{8}\times \frac{-7}{2}$$

Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

$$-\frac{33}{8}\left(-\frac{7}{2}\right)$$

Multiply -\frac{33}{8} times -\frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-33\left(-7\right)}{8\times 2}$$

Do the multiplications in the fraction \frac{-33\left(-7\right)}{8\times 2}.

$$\frac{231}{16}$$

Factor

$$\frac{3 \cdot 7 \cdot 11}{2 ^ {4}} = 14\frac{7}{16} = 14.4375$$