QuestionWhich partial quotients could be added to find ? A. 20 and 4 B. 20 and 8 C. 30 and 3 D. 30 and 8
Studdy Solution
STEP 1
What is this asking? We need to figure out which pair of numbers, when multiplied by and added together, gives us . Watch out! Don't just pick the numbers that add up to something close; make sure they work with multiplication and adding together too!
STEP 2
1. Test Option A
2. Test Option B
3. Test Option C
4. Test Option D
STEP 3
Alright, let's **test option A**: and .
If we multiply by , we get .
Then, multiplying by gives us .
Adding those together: .
Hmm, not , so **A is out**!
STEP 4
Okay, on to **option B**: and .
We already know from the previous step.
Now, .
Adding them up: .
Still not , so **B isn't it** either!
STEP 5
Let's try **option C**: and .
First, .
Next, .
Adding those results: .
Woohoo! We found it! **Option C works**!
STEP 6
Even though we found the answer, let's check **option D** just to be absolutely sure.
We have and .
We already calculated , and .
Adding these gives us .
Nope, **too big**!
STEP 7
The correct answer is C, as .
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