Solve a+3/6+5/9

$$a + \frac { 3 } { 6 } + \frac { 5 } { 9 }$$

Evaluate

$$a = \frac{19}{18} = 1\frac{1}{18} = 1.0555555555555556$$

Solution Steps

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

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

Least common multiple of 2 and 9 is 18. Convert \frac{1}{2} and \frac{5}{9} to fractions with denominator 18.

$$a+\frac{9}{18}+\frac{10}{18}$$

Since \frac{9}{18} and \frac{10}{18} have the same denominator, add them by adding their numerators.

$$a+\frac{9+10}{18}$$

Add 9 and 10 to get 19.

$$a+\frac{19}{18}$$

Factor

$$\frac{18a+19}{18}$$

Solution Steps

Factor out \frac{1}{18}.

$$\frac{18a+19}{18}$$

Consider 18a+9+10. Multiply and combine like terms.

$$18a+19$$

Rewrite the complete factored expression.

$$\frac{18a+19}{18}$$