Solve 2-(4/9+5/6)

$$2 - ( \frac { 4 } { 9 } + \frac { 5 } { 6 } )$$

Evaluate

$$\frac{13}{18}\approx 0.722222222$$

Solution Steps

Least common multiple of 9 and 6 is 18. Convert \frac{4}{9} and \frac{5}{6} to fractions with denominator 18.

$$2-\left(\frac{8}{18}+\frac{15}{18}\right)$$

Since \frac{8}{18} and \frac{15}{18} have the same denominator, add them by adding their numerators.

$$2-\frac{8+15}{18}$$

Add 8 and 15 to get 23.

$$2-\frac{23}{18}$$

Convert 2 to fraction \frac{36}{18}.

$$\frac{36}{18}-\frac{23}{18}$$

Since \frac{36}{18} and \frac{23}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-23}{18}$$

Subtract 23 from 36 to get 13.

$$\frac{13}{18}$$

Factor

$$\frac{13}{2 \cdot 3 ^ {2}} = 0.7222222222222222$$