Question

$\frac{5}{6} + \frac{1}{9}$
show your answer in simplest form.
$\frac{17}{?}$
enter the denominator.

Explanation:

Step1: Find the least common denominator (LCD) of 6 and 9.

The prime factors of 6 are $2\times3$, and the prime factors of 9 are $3\times3$. So the LCD is $2\times3\times3 = 18$.

Step2: Rewrite the fractions with the LCD.

For $\frac{5}{6}$, multiply numerator and denominator by 3: $\frac{5\times3}{6\times3}=\frac{15}{18}$.
For $\frac{1}{9}$, multiply numerator and denominator by 2: $\frac{1\times2}{9\times2}=\frac{2}{18}$.

Step3: Add the fractions.

$\frac{15}{18}+\frac{2}{18}=\frac{15 + 2}{18}=\frac{17}{18}$.

Answer:

18