Solve 18%-(9div18)1div3

$$18 \% -(9 \div 18)1 \div 3$$

Evaluate

$$\frac{1}{75}\approx 0.013333333$$

Solution Steps

Reduce the fraction \frac{18}{100} to lowest terms by extracting and canceling out 2.

$$\frac{9}{50}-\frac{\frac{9}{18}\times 1}{3}$$

Reduce the fraction \frac{9}{18} to lowest terms by extracting and canceling out 9.

$$\frac{9}{50}-\frac{\frac{1}{2}\times 1}{3}$$

Multiply \frac{1}{2} and 1 to get \frac{1}{2}.

$$\frac{9}{50}-\frac{\frac{1}{2}}{3}$$

Express \frac{\frac{1}{2}}{3} as a single fraction.

$$\frac{9}{50}-\frac{1}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$\frac{9}{50}-\frac{1}{6}$$

Least common multiple of 50 and 6 is 150. Convert \frac{9}{50} and \frac{1}{6} to fractions with denominator 150.

$$\frac{27}{150}-\frac{25}{150}$$

Since \frac{27}{150} and \frac{25}{150} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-25}{150}$$

Subtract 25 from 27 to get 2.

$$\frac{2}{150}$$

Reduce the fraction \frac{2}{150} to lowest terms by extracting and canceling out 2.

$$\frac{1}{75}$$

Factor

$$\frac{1}{3 \cdot 5 ^ {2}} = 0.013333333333333334$$