Solve 65/9+21/2

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

Evaluate

$$\frac{163}{18}\approx 9.055555556$$

Solution Steps

Multiply 6 and 9 to get 54.

$$\frac{54+5}{9}+\frac{2\times 2+1}{2}$$

Add 54 and 5 to get 59.

$$\frac{59}{9}+\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{59}{9}+\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{59}{9}+\frac{5}{2}$$

Least common multiple of 9 and 2 is 18. Convert \frac{59}{9} and \frac{5}{2} to fractions with denominator 18.

$$\frac{118}{18}+\frac{45}{18}$$

Since \frac{118}{18} and \frac{45}{18} have the same denominator, add them by adding their numerators.

$$\frac{118+45}{18}$$

Add 118 and 45 to get 163.

$$\frac{163}{18}$$

Factor

$$\frac{163}{2 \cdot 3 ^ {2}} = 9\frac{1}{18} = 9.055555555555555$$