Solve 3(2-4)div2+6*3*2-4div(2+6)

$$3 ( 2 - 4 ) \div 2 + 6 \cdot 3 \cdot 2 - 4 \div ( 2 + 6 )$$

Evaluate

$$\frac{65}{2}=32.5$$

Solution Steps

Subtract 4 from 2 to get -2.

$$\frac{3\left(-2\right)}{2}+6\times 3\times 2-\frac{4}{2+6}$$

Multiply 3 and -2 to get -6.

$$\frac{-6}{2}+6\times 3\times 2-\frac{4}{2+6}$$

Divide -6 by 2 to get -3.

$$-3+6\times 3\times 2-\frac{4}{2+6}$$

Multiply 6 and 3 to get 18.

$$-3+18\times 2-\frac{4}{2+6}$$

Multiply 18 and 2 to get 36.

$$-3+36-\frac{4}{2+6}$$

Add -3 and 36 to get 33.

$$33-\frac{4}{2+6}$$

Add 2 and 6 to get 8.

$$33-\frac{4}{8}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$33-\frac{1}{2}$$

Convert 33 to fraction \frac{66}{2}.

$$\frac{66}{2}-\frac{1}{2}$$

Since \frac{66}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{66-1}{2}$$

Subtract 1 from 66 to get 65.

$$\frac{65}{2}$$

Factor

$$\frac{5 \cdot 13}{2} = 32\frac{1}{2} = 32.5$$