Solve 10+[70-58/2*70-58-42]*2

$$10 + [ \frac { 70 - 58 } { 2 \times 70 - 58 - 42 } ] \times 2$$

Evaluate

$$\frac{53}{5}=10.6$$

Solution Steps

Subtract 58 from 70 to get 12.

$$10+\frac{12}{2\times 70-58-42}\times 2$$

Multiply 2 and 70 to get 140.

$$10+\frac{12}{140-58-42}\times 2$$

Subtract 58 from 140 to get 82.

$$10+\frac{12}{82-42}\times 2$$

Subtract 42 from 82 to get 40.

$$10+\frac{12}{40}\times 2$$

Reduce the fraction \frac{12}{40} to lowest terms by extracting and canceling out 4.

$$10+\frac{3}{10}\times 2$$

Express \frac{3}{10}\times 2 as a single fraction.

$$10+\frac{3\times 2}{10}$$

Multiply 3 and 2 to get 6.

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

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$10+\frac{3}{5}$$

Convert 10 to fraction \frac{50}{5}.

$$\frac{50}{5}+\frac{3}{5}$$

Since \frac{50}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{50+3}{5}$$

Add 50 and 3 to get 53.

$$\frac{53}{5}$$

Factor

$$\frac{53}{5} = 10\frac{3}{5} = 10.6$$