Solve 213/18+1/2=

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

Evaluate

$$\frac{29}{9}\approx 3.222222222$$

Solution Steps

Multiply 2 and 18 to get 36.

$$\frac{36+13}{18}+\frac{1}{2}$$

Add 36 and 13 to get 49.

$$\frac{49}{18}+\frac{1}{2}$$

Least common multiple of 18 and 2 is 18. Convert \frac{49}{18} and \frac{1}{2} to fractions with denominator 18.

$$\frac{49}{18}+\frac{9}{18}$$

Since \frac{49}{18} and \frac{9}{18} have the same denominator, add them by adding their numerators.

$$\frac{49+9}{18}$$

Add 49 and 9 to get 58.

$$\frac{58}{18}$$

Reduce the fraction \frac{58}{18} to lowest terms by extracting and canceling out 2.

$$\frac{29}{9}$$

Factor

$$\frac{29}{3 ^ {2}} = 3\frac{2}{9} = 3.2222222222222223$$