Solve (10-2)+2*3div(8+6)(7-2)-12*2div8

$$(10-2)+2 \times 3 \div (8+6)(7-2)-12 \times 2 \div 8$$

Evaluate

$$\frac{50}{7}\approx 7.142857143$$

Solution Steps

Subtract 2 from 10 to get 8.

$$8+\frac{2\times 3}{8+6}\left(7-2\right)-\frac{12\times 2}{8}$$

Multiply 2 and 3 to get 6.

$$8+\frac{6}{8+6}\left(7-2\right)-\frac{12\times 2}{8}$$

Add 8 and 6 to get 14.

$$8+\frac{6}{14}\left(7-2\right)-\frac{12\times 2}{8}$$

Reduce the fraction \frac{6}{14} to lowest terms by extracting and canceling out 2.

$$8+\frac{3}{7}\left(7-2\right)-\frac{12\times 2}{8}$$

Subtract 2 from 7 to get 5.

$$8+\frac{3}{7}\times 5-\frac{12\times 2}{8}$$

Express \frac{3}{7}\times 5 as a single fraction.

$$8+\frac{3\times 5}{7}-\frac{12\times 2}{8}$$

Multiply 3 and 5 to get 15.

$$8+\frac{15}{7}-\frac{12\times 2}{8}$$

Convert 8 to fraction \frac{56}{7}.

$$\frac{56}{7}+\frac{15}{7}-\frac{12\times 2}{8}$$

Since \frac{56}{7} and \frac{15}{7} have the same denominator, add them by adding their numerators.

$$\frac{56+15}{7}-\frac{12\times 2}{8}$$

Add 56 and 15 to get 71.

$$\frac{71}{7}-\frac{12\times 2}{8}$$

Multiply 12 and 2 to get 24.

$$\frac{71}{7}-\frac{24}{8}$$

Divide 24 by 8 to get 3.

$$\frac{71}{7}-3$$

Convert 3 to fraction \frac{21}{7}.

$$\frac{71}{7}-\frac{21}{7}$$

Since \frac{71}{7} and \frac{21}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{71-21}{7}$$

Subtract 21 from 71 to get 50.

$$\frac{50}{7}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{7} = 7\frac{1}{7} = 7.142857142857143$$