Solve 9/6-2/9

$$\frac { 9 } { 6 } - \frac { 2 } { 9 }$$

Evaluate

$$\frac{23}{18}\approx 1.277777778$$

Solution Steps

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

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

Least common multiple of 2 and 9 is 18. Convert \frac{3}{2} and \frac{2}{9} to fractions with denominator 18.

$$\frac{27}{18}-\frac{4}{18}$$

Since \frac{27}{18} and \frac{4}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-4}{18}$$

Subtract 4 from 27 to get 23.

$$\frac{23}{18}$$

Factor

$$\frac{23}{2 \cdot 3 ^ {2}} = 1\frac{5}{18} = 1.2777777777777777$$