Solve 1-(2/4+2/9)

$$1 - ( \frac { 2 } { 4 } + \frac { 2 } { 9 } )$$

Evaluate

$$\frac{5}{18}\approx 0.277777778$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$1-\left(\frac{1}{2}+\frac{2}{9}\right)$$

Least common multiple of 2 and 9 is 18. Convert \frac{1}{2} and \frac{2}{9} to fractions with denominator 18.

$$1-\left(\frac{9}{18}+\frac{4}{18}\right)$$

Since \frac{9}{18} and \frac{4}{18} have the same denominator, add them by adding their numerators.

$$1-\frac{9+4}{18}$$

Add 9 and 4 to get 13.

$$1-\frac{13}{18}$$

Convert 1 to fraction \frac{18}{18}.

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

Since \frac{18}{18} and \frac{13}{18} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 13 from 18 to get 5.

$$\frac{5}{18}$$

Factor

$$\frac{5}{2 \cdot 3 ^ {2}} = 0.2777777777777778$$