# Thread: Multiplying Squared fractions

1. ## Multiplying Squared fractions

I this is the problem and the solution.

[1/2(10/3)]^2= 25/9

The ways I have worked it out so far are not generating 25/9 so if you could help me by telling me the steps to get there it would be great. thanks

2. Do whats inside the ( ) first..

$\frac{1}{2}*\frac{10}{3}=\frac{10}{6}$

$(\frac{10}{6})^2= \frac{10}{6}*\frac{10}{6} = \frac{100}{36}$. You can take 4 into both so it reduces to $\frac{25}{9}$

3. Originally Posted by leoslick
I this is the problem and the solution.

[1/2(10/3)]^2= 25/9

The ways I have worked it out so far are not generating 25/9 so if you could help me by telling me the steps to get there it would be great. thanks
Using LaTeX or the brackets correctly helps.

$\left[\frac{1}{2}\left(\frac{10}{3}\right)\right]^2 = \left(\frac{1}{2}\right)^2 \left(\frac{10}{3}\right)^2$

$= \frac{1^2}{2^2}\left(\frac{10^2}{3^2}\right)$

$= \frac{1}{4}\left(\frac{100}{9}\right)$

$= \frac{25}{9}$.

4. I'll make it easy

just multiply $\frac {1}{2}$ by $\frac {10}{3}$

Not we got $(\frac {10}{6})^2$

The rest should be easy:

$\frac {10^2}{6^2}$

$\frac {100}{36}$

simplify:

$\frac {25}{9}$

done.