Solve 14/9+2/3=

$$1 \frac { 4 } { 9 } + \frac { 2 } { 3 } =$$

Evaluate

$$\frac{19}{9}\approx 2.111111111$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+4}{9}+\frac{2}{3}$$

Add 9 and 4 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, add them by adding their numerators.

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

Add 13 and 6 to get 19.

$$\frac{19}{9}$$

Factor

$$\frac{19}{3 ^ {2}} = 2\frac{1}{9} = 2.111111111111111$$