Solve 4/6+7/9-2/3=

$$\frac { 4 } { 6 } + \frac { 7 } { 9 } - \frac { 2 } { 3 } =$$

Evaluate

$$\frac{7}{9}\approx 0.777777778$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}+\frac{7}{9}-\frac{2}{3}$$

Least common multiple of 3 and 9 is 9. Convert \frac{2}{3} and \frac{7}{9} to fractions with denominator 9.

$$\frac{6}{9}+\frac{7}{9}-\frac{2}{3}$$

Since \frac{6}{9} and \frac{7}{9} have the same denominator, add them by adding their numerators.

$$\frac{6+7}{9}-\frac{2}{3}$$

Add 6 and 7 to get 13.

$$\frac{13}{9}-\frac{2}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{13}{9} and \frac{2}{3} to fractions with denominator 9.

$$\frac{13}{9}-\frac{6}{9}$$

Since \frac{13}{9} and \frac{6}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-6}{9}$$

Subtract 6 from 13 to get 7.

$$\frac{7}{9}$$

Factor

$$\frac{7}{3 ^ {2}} = 0.7777777777777778$$