Which fraction and equivalent decimal correctly shows the ratio of shaded circles to all circles?

A. 1/4 = 0.25

B. 1/3 = 0.3

C. 1/2 = 0.5

D. 2/3 = 0.6

Question

Which fraction and equivalent decimal correctly shows the ratio of shaded circles to all circles?
   
 A. 1/4 = 0.25
  
 B. 1/3 = 0.3
 
 C. 1/2 = 0.5
   
  D. 2/3 = 0.6

anonymous · Answer

attachment

babynini · Answer

1) how many circles are there in all?
2) how many circles are shaded?
can you give me the answers to both of those? :)

anonymous · Answer

12 in all, 8 shaded

babynini · Answer

Perfect! so another way to write that is
8/12, does that make sense?

babynini · Answer

$$\frac{ 8 }{ 12 }$$ are shaded

babynini · Answer

Right now that doesn't match any of the answers though. So we want to simplify it. Can you think of a number that both 8 and 12 are divisible by?

anonymous · Answer

2

babynini · Answer

Good!! so divide the top and bottom by 2 and you get?

anonymous · Answer

4 and 6

babynini · Answer

Excellent. Hm still doesn't match an answer, so we want to simplify it more.
What are both 4 and 6 divisible by?

anonymous · Answer

2

babynini · Answer

Good! Divide the top and bottom of 4/6 by 2 and you get?

babynini · Answer

and you should get your final answer :)

anonymous · Answer

that so easily 2 and 3 which means D

babynini · Answer

Yes! That is correct.

anonymous · Answer

Thank you so much!

babynini · Answer

No problem :)