Solve 1/3+52/9

$$\frac { 1 } { 3 } + 5 \frac { 2 } { 9 }$$

Evaluate

$$\frac{50}{9}\approx 5.555555556$$

Solution Steps

Multiply 5 and 9 to get 45.

$$\frac{1}{3}+\frac{45+2}{9}$$

Add 45 and 2 to get 47.

$$\frac{1}{3}+\frac{47}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{1}{3} and \frac{47}{9} to fractions with denominator 9.

$$\frac{3}{9}+\frac{47}{9}$$

Since \frac{3}{9} and \frac{47}{9} have the same denominator, add them by adding their numerators.

$$\frac{3+47}{9}$$

Add 3 and 47 to get 50.

$$\frac{50}{9}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{3 ^ {2}} = 5\frac{5}{9} = 5.555555555555555$$