Solve -8div(-4)*5+2div(-7)-(3-4*2)-2

$$-8 \div (-4) \cdot 5+2 \div (-7)-(3-4 \cdot 2)-2$$

Evaluate

$$\frac{89}{7}\approx 12.714285714$$

Solution Steps

Divide -8 by -4 to get 2.

$$2\times 5+\frac{2}{-7}-\left(3-4\times 2\right)-2$$

Multiply 2 and 5 to get 10.

$$10+\frac{2}{-7}-\left(3-4\times 2\right)-2$$

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

$$10-\frac{2}{7}-\left(3-4\times 2\right)-2$$

Convert 10 to fraction \frac{70}{7}.

$$\frac{70}{7}-\frac{2}{7}-\left(3-4\times 2\right)-2$$

Since \frac{70}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{70-2}{7}-\left(3-4\times 2\right)-2$$

Subtract 2 from 70 to get 68.

$$\frac{68}{7}-\left(3-4\times 2\right)-2$$

Multiply 4 and 2 to get 8.

$$\frac{68}{7}-\left(3-8\right)-2$$

Subtract 8 from 3 to get -5.

$$\frac{68}{7}-\left(-5\right)-2$$

The opposite of -5 is 5.

$$\frac{68}{7}+5-2$$

Convert 5 to fraction \frac{35}{7}.

$$\frac{68}{7}+\frac{35}{7}-2$$

Since \frac{68}{7} and \frac{35}{7} have the same denominator, add them by adding their numerators.

$$\frac{68+35}{7}-2$$

Add 68 and 35 to get 103.

$$\frac{103}{7}-2$$

Convert 2 to fraction \frac{14}{7}.

$$\frac{103}{7}-\frac{14}{7}$$

Since \frac{103}{7} and \frac{14}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{103-14}{7}$$

Subtract 14 from 103 to get 89.

$$\frac{89}{7}$$

Factor

$$\frac{89}{7} = 12\frac{5}{7} = 12.714285714285714$$