Solve 6:2:3+5*2*32-6(5-2+4-32*2)

$$6 : 2 : 3 + 5 \cdot 2 \cdot 32 - 6 ( 5 - 2 + 4 - 32 \cdot 2 )$$

Evaluate

$$663$$

Solution Steps

Express \frac{\frac{6}{2}}{3} as a single fraction.

$$\frac{6}{2\times 3}+5\times 2\times 32-6\left(5-2+4-32\times 2\right)$$

Multiply 2 and 3 to get 6.

$$\frac{6}{6}+5\times 2\times 32-6\left(5-2+4-32\times 2\right)$$

Divide 6 by 6 to get 1.

$$1+5\times 2\times 32-6\left(5-2+4-32\times 2\right)$$

Multiply 5 and 2 to get 10.

$$1+10\times 32-6\left(5-2+4-32\times 2\right)$$

Multiply 10 and 32 to get 320.

$$1+320-6\left(5-2+4-32\times 2\right)$$

Add 1 and 320 to get 321.

$$321-6\left(5-2+4-32\times 2\right)$$

Subtract 2 from 5 to get 3.

$$321-6\left(3+4-32\times 2\right)$$

Add 3 and 4 to get 7.

$$321-6\left(7-32\times 2\right)$$

Multiply 32 and 2 to get 64.

$$321-6\left(7-64\right)$$

Subtract 64 from 7 to get -57.

$$321-6\left(-57\right)$$

Multiply 6 and -57 to get -342.

$$321-\left(-342\right)$$

The opposite of -342 is 342.

$$321+342$$

Add 321 and 342 to get 663.

$$663$$

Factor

$$3\times 13\times 17$$