Perform the division and explain your work in complete sentences:

(x - 5)/(2x) divided by (6)/(x + 3)

Question

Perform the division and explain your work in complete sentences:

(x - 5)/(2x) divided by (6)/(x + 3)

anonymous · Answer

@arabpride @eliassaab @thomaster @phi @Homeworked @Destinymasha @AustinC @campbell_st Can anyone help with this one? :)

campbell_st · Answer

can you please not page me. 

thanks

anonymous · Answer

You called?

mathmale · Answer

$$\frac{ x-5 }{ 2x }\div \frac{ 6 }{ x+3 }\rightarrow \frac{ x-5 }{ 2x }*\frac{ x+3 }{ 6 }$$
due to the rule, "to divide by a fraction, invert the fraction and then multiply."

anonymous · Answer

Yeah, what he said.

jdoe0001 · Answer

$\large \bf \cfrac{\quad \frac{a}{b}\quad }{\frac{c}{d}}\implies \cfrac{a}{b}\cdot \cfrac{d}{c}$

mathmale · Answer

You could actually leave this result as is, or
You could multiply the numerators together and express the result as 12x.
You could write the numerator as the product of two binomials:$$\frac{ (x-5)(x+3) }{ 12x }.$$

mathmale · Answer

This is, in my opinion, the best answer.  You could always do the indicated multiplication in the numerator, but this doesn't really "improve" your answer.

anonymous · Answer

Thank you so much!

anonymous · Answer

Listen to this guy, he knows things..^

mathmale · Answer

My pleasure, Troy!  Thank you very much, Homeworked!  MM

anonymous · Answer

I think you should get back to helping me with my question though love.