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Mathematics 6 Online
Nicole:

http://prntscr.com/lw4yu3

Hero:

Okay, this is the last one I'm helping with. The same rule applies from the last problem.

Hero:

Convert the division to multiplication by reciprocating the second fraction.

Nicole:

Confused

Hero:

Hang on a minute

Hero:

\(\begin{align*} \dfrac{9x - 18}{4} \div \dfrac{36}{8x - 24}\\\\ \dfrac{9x - 18}{4} \cdot \dfrac{8x - 24}{36}\\\\ \dfrac{9x - 18}{4} \cdot \dfrac{8(x - 3)}{36}\\\\ \end{align*}\)

Hero:

Something seems to be off with the answer choices

Hero:

One second. Let me try something else

Nicole:

Hmm okay

Hero:

Okay, basically, they want us to factor it completely

Hero:

@Nicole

Hero:

Shout out to @photonics

Nicole:

factor out what

Nicole:

the numerators and denominators?

Hero:

Where have you been?

Hero:

Yes, factor everything completely. Let me know what you get

Nicole:

Lol, sorry I got busy with something other than school

Nicole:

9x-18: 9(x−2)

Nicole:

8x-24: 8(x−3) the rest are whole numbers so you cant factor

Hero:

It can be factored further than that

Hero:

Keep in mind \(36 = 9 \times 4\) and 2 is common to both 4 and 8

Nicole:

Oh I didnt know you can factor whole numbers

Nicole:

so 4 = 2*2

Hero:

Yes, whole numbers are factorable if they are composite.

Nicole:

Okay so what is the next step

Nicole:

@Hero

Nicole:

@563blackghost

Nicole:

is it A?

Hero:

Correct

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