Solve 11/3+35/9

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

Evaluate

$$\frac{44}{9}\approx 4.888888889$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

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

Multiply 3 and 9 to get 27.

$$\frac{4}{3}+\frac{27+5}{9}$$

Add 27 and 5 to get 32.

$$\frac{4}{3}+\frac{32}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{4}{3} and \frac{32}{9} to fractions with denominator 9.

$$\frac{12}{9}+\frac{32}{9}$$

Since \frac{12}{9} and \frac{32}{9} have the same denominator, add them by adding their numerators.

$$\frac{12+32}{9}$$

Add 12 and 32 to get 44.

$$\frac{44}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 11}{3 ^ {2}} = 4\frac{8}{9} = 4.888888888888889$$