Solve 58/9+31/3

$$5 \frac { 8 } { 9 } + 3 \frac { 1 } { 3 }$$

Evaluate

$$\frac{83}{9}\approx 9.222222222$$

Solution Steps

Multiply 5 and 9 to get 45.

$$\frac{45+8}{9}+\frac{3\times 3+1}{3}$$

Add 45 and 8 to get 53.

$$\frac{53}{9}+\frac{3\times 3+1}{3}$$

Multiply 3 and 3 to get 9.

$$\frac{53}{9}+\frac{9+1}{3}$$

Add 9 and 1 to get 10.

$$\frac{53}{9}+\frac{10}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{53}{9} and \frac{10}{3} to fractions with denominator 9.

$$\frac{53}{9}+\frac{30}{9}$$

Since \frac{53}{9} and \frac{30}{9} have the same denominator, add them by adding their numerators.

$$\frac{53+30}{9}$$

Add 53 and 30 to get 83.

$$\frac{83}{9}$$

Factor

$$\frac{83}{3 ^ {2}} = 9\frac{2}{9} = 9.222222222222221$$