Solve 2*(5/6-5/9)

$$2 \times ( \frac { 5 } { 6 } - \frac { 5 } { 9 } )$$

Evaluate

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

Solution Steps

Least common multiple of 6 and 9 is 18. Convert \frac{5}{6} and \frac{5}{9} to fractions with denominator 18.

$$2\left(\frac{15}{18}-\frac{10}{18}\right)$$

Since \frac{15}{18} and \frac{10}{18} have the same denominator, subtract them by subtracting their numerators.

$$2\times \frac{15-10}{18}$$

Subtract 10 from 15 to get 5.

$$2\times \frac{5}{18}$$

Express 2\times \frac{5}{18} as a single fraction.

$$\frac{2\times 5}{18}$$

Multiply 2 and 5 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

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