## anonymous one year ago A recipe that makes 9 servings calls for 2 1/4 cups of juice. How many cups of juice are there per serving? A. 4/9 B. 1/9 C. 9/4 D. 1/4

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1. anonymous

You would have to divide the cups by the number of servings. $2 \frac{ 1 }{ 4 }\div9$

2. anonymous

and how would i divide it?..

3. anonymous

I'd start with changing 2¼ to an improper fraction. Do you know how to do that?

4. anonymous

i know how to do it, but i screw up every time.

5. anonymous

|dw:1441193526843:dw|

6. anonymous

So you need to do (2 * 4) + 1

7. anonymous

okay so that answer is 9

8. anonymous

right, and then we keep the denominator the same, so $2\frac{ 1 }{ 4 }=\frac{ 9 }{ 4 }$

9. anonymous

and the division problem is now $\frac{ 9 }{ 4 }\div 9$

10. anonymous

This is how we divide fractions

11. anonymous

okay !

12. anonymous

Keep, change, flip |dw:1441193802105:dw|

13. anonymous

so we'll have $\frac{ 9 }{ 4 }\times \frac{ 1 }{ 9 }$

14. anonymous

okay..im slowly starting to get this..

15. anonymous

the 9 on top cancels the 9 on bottom. What will be left?

16. anonymous

the first fraction and the one

17. anonymous

yes, so how would you write that as a single fraction?

18. anonymous

just 9/4, right?

19. anonymous

remember, the 9s cancel, so they're not there anymore|dw:1441194199700:dw|

20. anonymous

make sense?

21. anonymous

oh both of them aren't there? so wouldnt it be 1/4?

22. anonymous

yes 1/4

23. anonymous

So my answer is d! thank you so much!

24. anonymous

you're welcome :)