Solve [(12*3+4):10+2+3*6:(36:3-2)]:3

$$[ ( 12 \cdot 3 + 4 ) : 10 + 2 + 3 \cdot 6 : ( 36 : 3 - 2 ) ] : 3$$

Evaluate

$$\frac{13}{5}=2.6$$

Solution Steps

Multiply 12 and 3 to get 36.

$$\frac{\frac{36+4}{10}+2+\frac{3\times 6}{\frac{36}{3}-2}}{3}$$

Add 36 and 4 to get 40.

$$\frac{\frac{40}{10}+2+\frac{3\times 6}{\frac{36}{3}-2}}{3}$$

Divide 40 by 10 to get 4.

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

Add 4 and 2 to get 6.

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

Multiply 3 and 6 to get 18.

$$\frac{6+\frac{18}{\frac{36}{3}-2}}{3}$$

Divide 36 by 3 to get 12.

$$\frac{6+\frac{18}{12-2}}{3}$$

Subtract 2 from 12 to get 10.

$$\frac{6+\frac{18}{10}}{3}$$

Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6+\frac{9}{5}}{3}$$

Convert 6 to fraction \frac{30}{5}.

$$\frac{\frac{30}{5}+\frac{9}{5}}{3}$$

Since \frac{30}{5} and \frac{9}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{30+9}{5}}{3}$$

Add 30 and 9 to get 39.

$$\frac{\frac{39}{5}}{3}$$

Express \frac{\frac{39}{5}}{3} as a single fraction.

$$\frac{39}{5\times 3}$$

Multiply 5 and 3 to get 15.

$$\frac{39}{15}$$

Reduce the fraction \frac{39}{15} to lowest terms by extracting and canceling out 3.

$$\frac{13}{5}$$

Factor

$$\frac{13}{5} = 2\frac{3}{5} = 2.6$$