Answer :
Answer:
D. 5/12
Step-by-step explanation:
I will have a picture attached to the answer. But I will explain it overall.
So let's start off with what information we have: Bella ate 1/4 of the bar and Owen at 1/3 of the same bar.
So how much overall was gone by the two? Well, in this part we will add the two fractions.
1/3 + 1/4 =?
Yet, here's the thing, these two fractions have different denominators. What we have to do is make them the same denominator. In order to do so we have to find the Least Common Multiple of the denominators.
So with that in mind...
Multiples of 3: 3,6,9,12,15,18,21,...
Multiples of 4: 4,8,12,16,20,24...
Do you see a number that 3 and 4 have? Welp, I do! It's 12! So here is what going to happen! We will set up the problem like this!
1/3 times ? equal x/12
+ 1/4 times ? equal x/12
Now you may be wondering what is the question mark for and what is "x"? Here's the thing, since we know the new fraction we have to figure out what times the original denominators equal the new denominator! So with 1/3, what or how do we make the 3 into 12? Well 3 times 4 equals 12! So that is ?. The ? will be 4/4. Because whatever you do to the bottom you do to the top.
1/3 times 4/4 equals 4/12
Now we do the same thing for the 1/4 fraction. Except the question mark will be 3/3 since 4 times 3 equals 12
1/4 times 3/3 equals 3/12
Okay, now we have 4/12 + 3/12= x/12. Let's add the fractions. 4+3=7 and the 12 of the denominator will stay the same. So 1/3+1/4 or 4/12+3/12 now equals 7/12.
The real question is what is LEFTOVER of the granola bar? So we have what was devoured of the bar, so now we can subtract the part that was gone with the whole bar. So...
1 whole bar equals 12/12
- the devoured part equals 7/12
left over or untouched = 5/12
So the answer to the question is D. 5/12
I hope this helps you, I'm sorry this took me a long time, I again do have a picture attached to the answer. If you need any help or have a question please don't be afraid to ask! Have a good day!
Answer: option D.
The total amount of the granola bar is = 1.
Given that they have eaten 1/4 and 1/3 of the bar.
So they have eaten a total of [tex]\frac{1}{4}+\frac{1}{3}=\frac{7}{12}[/tex] of the bar.
So the remaining amount is = [tex]1-\frac{7}{12}=\frac{12}{12}-\frac{7}{12}=\frac{5}{12}[/tex].
So option D is right.
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