Solve 10+3(6%2)-2

$$10 + 3 ( 6 \% 2 ) - 2$$

Evaluate

$$\frac{209}{25}=8.36$$

Solution Steps

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$10+3\times \frac{3}{50}\times 2-2$$

Express 3\times \frac{3}{50} as a single fraction.

$$10+\frac{3\times 3}{50}\times 2-2$$

Multiply 3 and 3 to get 9.

$$10+\frac{9}{50}\times 2-2$$

Express \frac{9}{50}\times 2 as a single fraction.

$$10+\frac{9\times 2}{50}-2$$

Multiply 9 and 2 to get 18.

$$10+\frac{18}{50}-2$$

Reduce the fraction \frac{18}{50} to lowest terms by extracting and canceling out 2.

$$10+\frac{9}{25}-2$$

Convert 10 to fraction \frac{250}{25}.

$$\frac{250}{25}+\frac{9}{25}-2$$

Since \frac{250}{25} and \frac{9}{25} have the same denominator, add them by adding their numerators.

$$\frac{250+9}{25}-2$$

Add 250 and 9 to get 259.

$$\frac{259}{25}-2$$

Convert 2 to fraction \frac{50}{25}.

$$\frac{259}{25}-\frac{50}{25}$$

Since \frac{259}{25} and \frac{50}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{259-50}{25}$$

Subtract 50 from 259 to get 209.

$$\frac{209}{25}$$

Factor

$$\frac{11 \cdot 19}{5 ^ {2}} = 8\frac{9}{25} = 8.36$$