Solve 12/3+14/9

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

Evaluate

$$\frac{28}{9}\approx 3.111111111$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

$$\frac{5}{3}+\frac{1\times 9+4}{9}$$

Multiply 1 and 9 to get 9.

$$\frac{5}{3}+\frac{9+4}{9}$$

Add 9 and 4 to get 13.

$$\frac{5}{3}+\frac{13}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{5}{3} and \frac{13}{9} to fractions with denominator 9.

$$\frac{15}{9}+\frac{13}{9}$$

Since \frac{15}{9} and \frac{13}{9} have the same denominator, add them by adding their numerators.

$$\frac{15+13}{9}$$

Add 15 and 13 to get 28.

$$\frac{28}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3 ^ {2}} = 3\frac{1}{9} = 3.111111111111111$$