Solve 21/18-11/2

$$2 \frac { 1 } { 18 } - 1 \frac { 1 } { 2 }$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Multiply 2 and 18 to get 36.

$$\frac{36+1}{18}-\frac{1\times 2+1}{2}$$

Add 36 and 1 to get 37.

$$\frac{37}{18}-\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{37}{18}-\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{37}{18}-\frac{3}{2}$$

Least common multiple of 18 and 2 is 18. Convert \frac{37}{18} and \frac{3}{2} to fractions with denominator 18.

$$\frac{37}{18}-\frac{27}{18}$$

Since \frac{37}{18} and \frac{27}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{37-27}{18}$$

Subtract 27 from 37 to get 10.

$$\frac{10}{18}$$

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

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$