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SOLUTION

Now this is how I can divide x by a fraction.

Let's divide x by

[tex]\frac{2}{3}[/tex]

So

[tex]x\text{ divided by }\frac{2}{3}[/tex]

Now to do this, change division to multiplication. When you do this, the fraction reverses. That is the number up will come down and the number down will go up.

So, this becomes

[tex]\begin{gathered} x\text{ divided by }\frac{2}{3} \\ x\times\frac{3}{2} \end{gathered}[/tex]

x on its own means x over 1, that is

[tex]\begin{gathered} x\times\frac{3}{2} \\ \frac{x}{1}\times\frac{3}{2} \\ m\text{ultiplying we have } \\ \frac{3x}{2} \end{gathered}[/tex]

So this is how to divide x by a fraction.

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