Question

Divide 2/8 by 9/18 . Input your answer as a reduced fraction.\

Answer 1

$\large\displaystyle\text{ \begin{gathered}\sf \boldsymbol{\sf{\frac{2}{8}\div\frac{9}{18} }} \end{gathered} }$

$\large\displaystyle\begin{gathered}\sf Simplify \ \frac{2}{8} \ to \ \frac{1}{4}. \end{gathered}$

$\large\displaystyle\text{ \begin{gathered}\sf \boldsymbol{\sf{\frac{1}{4}\div\frac{18}{9} }} \end{gathered} }$

$\large\displaystyle\begin{gathered}\sf Use \ this \ rule: a\div \frac{b}{c}=a\times \frac{c}{b}a \end{gathered}$

$\large\displaystyle\text{ \begin{gathered}\sf \boldsymbol{\sf{\frac{1}{4}\times\frac{18}{9} }} \end{gathered} }$

$\large\displaystyle\begin{gathered}\sf Use \ this \ rule: \frac{a}{b} \times \frac{c}d{}=\frac{ac}{bd}. \end{gathered}$

$\large\displaystyle\text{ \begin{gathered}\sf \boldsymbol{\sf{\frac{1\times18}{4\times9} \ \to \ \ Multiply }} \end{gathered} }$

$\large\displaystyle\text{ \begin{gathered}\sf \boldsymbol{\sf{ \frac{18}{36}= }}\boxed{\large\displaystyle\text{ \begin{gathered}\sf \boldsymbol{\sf{\frac{1}{2} }} \end{gathered} }} \end{gathered} }$

Answer 2

Answer:

1/2

Step-by-step explanation:

There is a couple ways of thinking about this.  Probably the fastest way is the rule, but the rule is not intuitive.  The rule is when you divide fraction, you keep the first fraction the same and then multiple and flip the second fraction.

2/8 x 18/9 = 36/72  To reduce the fraction, could keep dividing the top and the bottom by the same number until it is no longer possible, I could use: 2, 4 3, 9, 18, or 36.  If I used 36, I would only have to divide once.  36/16 is 1 and 72/36 is 2 so my answer would be 1/2.

I could have divided the top and bottom by 2 and got 18/36 and then divide by 2 again and get 9/18 and then by 9 and get 1/2.  As you can, see there are a lot of option.  

The second method is in the picture that I sent you, it is a little more work, but it makes sense.