Solve (4*4-7*3)*(-8)/5*(6:2-4)-1

$$\frac { ( 4 \cdot 4 - 7 \cdot 3 ) \cdot ( - 8 ) } { 5 \cdot ( 6 : 2 - 4 ) - 1 }$$

Evaluate

$$-\frac{20}{3}\approx -6.666666667$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{\left(16-7\times 3\right)\left(-8\right)}{5\left(\frac{6}{2}-4\right)-1}$$

Multiply 7 and 3 to get 21.

$$\frac{\left(16-21\right)\left(-8\right)}{5\left(\frac{6}{2}-4\right)-1}$$

Subtract 21 from 16 to get -5.

$$\frac{-5\left(-8\right)}{5\left(\frac{6}{2}-4\right)-1}$$

Multiply -5 and -8 to get 40.

$$\frac{40}{5\left(\frac{6}{2}-4\right)-1}$$

Divide 6 by 2 to get 3.

$$\frac{40}{5\left(3-4\right)-1}$$

Subtract 4 from 3 to get -1.

$$\frac{40}{5\left(-1\right)-1}$$

Multiply 5 and -1 to get -5.

$$\frac{40}{-5-1}$$

Subtract 1 from -5 to get -6.

$$\frac{40}{-6}$$

Reduce the fraction \frac{40}{-6} to lowest terms by extracting and canceling out 2.

$$-\frac{20}{3}$$

Factor

$$-\frac{20}{3} = -6\frac{2}{3} = -6.666666666666667$$