## anonymous one year ago HELP WILL MEDAL AND FAN Which expression is always equivalent to m? m over three times six m over one times three m over three times three m over six times three

1. TheSmartOne

2. anonymous

m over three times six m over one times three m over three times three m over six times three

3. TheSmartOne

Are the answer choices supposed to be read like: for example A: $$\sf\Large \frac{m}{3}\times 6$$ or $$\sf\Large \frac{m}{3 \times 6}$$

4. anonymous

the first one

5. anonymous

@TheSmartOne

6. TheSmartOne

ok, so did they give you the answer choices in numbers or just all in words?

7. anonymous

numbers

8. TheSmartOne

good

9. anonymous

okay

10. TheSmartOne

do you know this: $$\sf\Large\frac{a}{b}\times c = \frac{a}{b}\times\frac{c}{1} = \frac{a\times c}{b \times 1}=\frac{a \times c}{b}$$

11. anonymous

nope

12. TheSmartOne

you don't need to know it, but do you see how I multiplied the 2 fractions?

13. anonymous

yeah @TheSmartOne

14. TheSmartOne

do you also know this then: $$\sf\Large\frac{a}{a}=1$$

15. anonymous

yep

16. TheSmartOne

So what is your answer? Do the multiplication in each answer choice and simplify it. Which answer choice gives you back 'm' ?

17. anonymous

what does m stand or is what i dont get @TheSmartOne

18. TheSmartOne

19. TheSmartOne

it's the variable...

20. anonymous

no what is the number that m is replacing, i cant figure that out @TheSmartOne

21. TheSmartOne

it does not replace any number

22. TheSmartOne
23. anonymous

then how do you solve for m @TheSmartOne

24. TheSmartOne

you are not solving for m.

25. TheSmartOne

Read your own question. And no need to keep taggnig me. Each time you reply I'll get a notification and come back. You're not the only person I'm helping.

26. anonymous

then i dont get it

27. anonymous

28. TheSmartOne

what don't you get?

29. anonymous

what to multiply

30. TheSmartOne

$$\color{blue}{\text{Originally Posted by}}$$ @TheSmartOne do you know this: $$\sf\Large\frac{a}{b}\times c = \frac{a}{b}\times\frac{c}{1} = \frac{a\times c}{b \times 1}=\frac{a \times c}{b}$$ $$\color{blue}{\text{End of Quote}}$$ I'll do A for you $$\sf\Large\frac{m}{3}\times 6 = \frac{m}{3}\times\frac{6}{1} = \frac{m\times 6}{3 \times 1}=\frac{m \times 6}{3}=2m$$ $$\sf\Huge m \neq 2m$$ So the answer is not A

31. anonymous

oh okay thaks

32. TheSmartOne

np