Solve 34/5+82/9=

$$3 \frac { 4 } { 5 } + 8 \frac { 2 } { 9 } =$$

Evaluate

$$\frac{541}{45}\approx 12.022222222$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+4}{5}+\frac{8\times 9+2}{9}$$

Add 15 and 4 to get 19.

$$\frac{19}{5}+\frac{8\times 9+2}{9}$$

Multiply 8 and 9 to get 72.

$$\frac{19}{5}+\frac{72+2}{9}$$

Add 72 and 2 to get 74.

$$\frac{19}{5}+\frac{74}{9}$$

Least common multiple of 5 and 9 is 45. Convert \frac{19}{5} and \frac{74}{9} to fractions with denominator 45.

$$\frac{171}{45}+\frac{370}{45}$$

Since \frac{171}{45} and \frac{370}{45} have the same denominator, add them by adding their numerators.

$$\frac{171+370}{45}$$

Add 171 and 370 to get 541.

$$\frac{541}{45}$$

Factor

$$\frac{541}{3 ^ {2} \cdot 5} = 12\frac{1}{45} = 12.022222222222222$$