Solve 23/9+112/9

$$2 \frac { 3 } { 9 } + 1 \frac { 12 } { 9 }$$

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Solution Steps

Multiply 2 and 9 to get 18.

$$\frac{18+3}{9}+\frac{1\times 9+12}{9}$$

Add 18 and 3 to get 21.

$$\frac{21}{9}+\frac{1\times 9+12}{9}$$

Reduce the fraction \frac{21}{9} to lowest terms by extracting and canceling out 3.

$$\frac{7}{3}+\frac{1\times 9+12}{9}$$

Multiply 1 and 9 to get 9.

$$\frac{7}{3}+\frac{9+12}{9}$$

Add 9 and 12 to get 21.

$$\frac{7}{3}+\frac{21}{9}$$

Reduce the fraction \frac{21}{9} to lowest terms by extracting and canceling out 3.

$$\frac{7}{3}+\frac{7}{3}$$

Since \frac{7}{3} and \frac{7}{3} have the same denominator, add them by adding their numerators.

$$\frac{7+7}{3}$$

Add 7 and 7 to get 14.

$$\frac{14}{3}$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$