Solve 211/4+311/9=

$$2 \frac { 11 } { 4 } + 3 \frac { 11 } { 9 } =$$

Evaluate

$$\frac{323}{36}\approx 8.972222222$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+11}{4}+\frac{3\times 9+11}{9}$$

Add 8 and 11 to get 19.

$$\frac{19}{4}+\frac{3\times 9+11}{9}$$

Multiply 3 and 9 to get 27.

$$\frac{19}{4}+\frac{27+11}{9}$$

Add 27 and 11 to get 38.

$$\frac{19}{4}+\frac{38}{9}$$

Least common multiple of 4 and 9 is 36. Convert \frac{19}{4} and \frac{38}{9} to fractions with denominator 36.

$$\frac{171}{36}+\frac{152}{36}$$

Since \frac{171}{36} and \frac{152}{36} have the same denominator, add them by adding their numerators.

$$\frac{171+152}{36}$$

Add 171 and 152 to get 323.

$$\frac{323}{36}$$

Factor

$$\frac{17 \cdot 19}{2 ^ {2} \cdot 3 ^ {2}} = 8\frac{35}{36} = 8.972222222222221$$