Solve 13/18+81/2=

$$\frac { 13 } { 18 } + 8 \frac { 1 } { 2 } =$$

Evaluate

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

Solution Steps

Multiply 8 and 2 to get 16.

$$\frac{13}{18}+\frac{16+1}{2}$$

Add 16 and 1 to get 17.

$$\frac{13}{18}+\frac{17}{2}$$

Least common multiple of 18 and 2 is 18. Convert \frac{13}{18} and \frac{17}{2} to fractions with denominator 18.

$$\frac{13}{18}+\frac{153}{18}$$

Since \frac{13}{18} and \frac{153}{18} have the same denominator, add them by adding their numerators.

$$\frac{13+153}{18}$$

Add 13 and 153 to get 166.

$$\frac{166}{18}$$

Reduce the fraction \frac{166}{18} to lowest terms by extracting and canceling out 2.

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

Factor

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