Solve 52/9+14/6=

$$5 \frac { 2 } { 9 } + 1 \frac { 4 } { 6 } =$$

Evaluate

$$\frac{62}{9}\approx 6.888888889$$

Solution Steps

Multiply 5 and 9 to get 45.

$$\frac{45+2}{9}+\frac{1\times 6+4}{6}$$

Add 45 and 2 to get 47.

$$\frac{47}{9}+\frac{1\times 6+4}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{47}{9}+\frac{6+4}{6}$$

Add 6 and 4 to get 10.

$$\frac{47}{9}+\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{47}{9}+\frac{5}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{47}{9} and \frac{5}{3} to fractions with denominator 9.

$$\frac{47}{9}+\frac{15}{9}$$

Since \frac{47}{9} and \frac{15}{9} have the same denominator, add them by adding their numerators.

$$\frac{47+15}{9}$$

Add 47 and 15 to get 62.

$$\frac{62}{9}$$

Factor

$$\frac{2 \cdot 31}{3 ^ {2}} = 6\frac{8}{9} = 6.888888888888889$$