Trinh is catering a wedding that 112 people will attend. She is making two cakes, a chocolate cake and a carrot cake. of the guests will be served chocolate cake and the rest will receive carrot cake. How many guests will get carrot cake?

- anonymous

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- anonymous

You're missing a number in there. How many guests got chocolate?

- anonymous

5/8

- anonymous

alright, so 5/8*112 = nb of people getting chocolate = 70 people
the number of people getting carrot : 112-70 = 42 people

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## More answers

- anonymous

thank you so much

- anonymous

Eddie is fishing. He has 1 1/4 ounces of weight on his line, but his bait isn’t getting to the bottom of the lake. Eddie adds another 1/2 ounce weight to the line, but it's still not enough. Finally, Eddie adds a 3/4 ounce weight and the bait sinks. How much weight does Eddie now have on his line?

- anonymous

You can try seeing it this way : in every group of 8 people, 5 will have gotten chocolate. First thing you do is find how many groups of 8 people you have (14 in this case). Then, in those 14 groups, you have 5 people getting chocolate, so 14 groups * 5people per group, that gives you 70

- anonymous

ok, so you have 1 + 1/4 as initial weight
1 + 1/4 + 1/2 + 3/4 is the total weight at the end. you have to put everything on the same denominator to add these terms :
1 = 4/4
1/2 = 2/4
so your equation is now
4/4+1/4+2/4+3/4 = 10/4
10/4 is also 2 and a half ounces (depending on how your teacher wants the answer)

- anonymous

Sam bought 2 1/4 pounds of Swiss cheese and 1 1/2 pounds of cheddar at the deli. How many pounds of cheese did Sam buy altogether?
so do i just add them up?

- anonymous

exactly, and how will you proceed with doing that?

- anonymous

2 1/4 = 9/4?
1 1/2= 3/2
add and get 12/6

- anonymous

or 12/4

- anonymous

not exactly. I see what you did, and the only problem is you don't have the same denominator. Let's use coins instead, that may make it simpler to explain. So you have a quarter and 5 dimes in your pocket (basically, ¢50). Alright, so you have this
1/4 + 1/2 (the 1/2 is for the 50¢ which is half a dollar)
so you know that you have 75¢, right? 75¢ is also what you would have had you 3 quarters, so we can write the following thing
1/4 + 1/2 = 3/4
Is it clear so far?

- anonymous

yea i kind of understand it

- anonymous

let's say you remove that quarter from your pocket. You know have only 5 dimes, which is worth 50¢. 50¢ is half a dollar. 50¢ is also the worth of 2 quarters
New equation is :
1/2 = 2/4
Now, aside from the logic we used here to explain it, here's how you can work it out mathematically.
1/2 * 1 = 1/2
1 can be written in a ton of different fractions. it can be 2/2 (2 halves make a whole), 3/3, 4/4, 80/80, basically anything where the top and bottom part of the fraction is the same. So lemme rewrite this diffrently :
1/2* 2/2 = 2/4
ok, so, what does multiplying by 2/2 actually do for you? it's the same thing as writing this :
|dw:1333599562659:dw|

- anonymous

you need to master going from one denominator to another to add fractions. In that last problem, we have this :
9/4 + 3/2 = ?
by saying 12/4, you were getting close to what needs to be done. The answer will definitely be in quarters, only how many quarters is the question!

- anonymous

how many quarters are there in 3/2?

- anonymous

3?

- anonymous

that would mean that 3/4 = 3/2. 3/4 is smaller than one, but 3/2 is bigger than one, so they can't be the same. Based on what I wrote, let's start by looking at the denominator. you have 2 as a denominator, but you want 4, so what will you need to multiply 2 with for it to give 4?
2 x ? = 4

- anonymous

you'd need to multiply 2

- anonymous

Bingo, so let's plug what we have so far here :
|dw:1333600367025:dw|
What I've circled (well, it isn't a circle, but still ;-) ) is supposed to be equal to one, because you always start twith this principle here :
3/2 * 1 = 3/2
So what will the first question mark be worth? It has to be 2, right?

- anonymous

ok, so you now have the following :
|dw:1333600561282:dw|

- anonymous

What is that last question mark worth?

- anonymous

6

- anonymous

Exactly! So now, we know that 3/2 = 6/4! If I were to put it in sixth (not for this problem, just for the "fun" of it), I'd do this here 3/2*3/3 = (3*3)/(2*3) = 9/6!
But I digress, now, back to the problem, we had 9/4 of swiss, and we had 3/2 of cheddar, which we now know to be 6/4.
So what is the answer?

- anonymous

when i added it all up i got 21/4

- anonymous

21? That's a bit too much, what fractions did you add?

- anonymous

9/4, 3/2 changed that tp 6/4 so i could get the same denominatorts and 6/4

- anonymous

ah, ok, I see. Why the second 6/4 tho? You're right about the 9/4 (swiss), the 6/4 (cheddar), but that second 6/4 isn't supposd to be there since it doesn't represent any cheese.

- anonymous

But you seem to be getting the method right, which is good :-)

- anonymous

so i just add 9/4 and 6/4
i get 15/4 and that equals 3 3/4??

- anonymous

Tadam!!! Yes, that's exactly it!

- anonymous

lol thanks for being patient and actually teaching me how to do this.

- anonymous

Have anymore you can practice with?

- anonymous

My pleasure, I like teaching, so it's no biggie. Thanks for enduring my perhaps unnecessarely long explanations ;-)

- anonymous

lol it helped so heyy :). now i wont forget

- anonymous

ok, quick question to revise (if you want, that is) : if I want to know how many sixths are in 2/3, how would you do it?

- anonymous

if you multiply 2 fractions with the same denominator but different numerater do i just multiply the numeraters?

- anonymous

example
3/8 x 7/8

- anonymous

not, wait, sorry

- anonymous

it would actually be (3*7)/(8*8) so 21/64

- anonymous

yea thats what i got.. does it not reduce to simplist form?

- anonymous

hum, actually, there are no common factors between 21 and 64, so you can't simplify this fraction more than it is

- anonymous

24/64, you would have 8 as a c.f. of 24 and 64, so it would be (3*8)/(8*8) = (3/8)*(8/8) = (3/8) * 1 = 3/8

- anonymous

what about
2/3 x 4/5
do i flip 4/5 and multiply it?

- anonymous

You'll need to flip a fraction only when dividing by it |dw:1333602306790:dw|

- anonymous

i got that but it wasnt one of my answers. its asking me to multiply 2/3 and 4/5 and find it in simplist form

- anonymous

ok, so to multiply fractions, you simply need to multiply the numerators together and the denominators together as well and you get your final fraction. Now, to simplify, you need to find common factors of the numerator and denominator

- anonymous

ohhh okay see i got it mixed up. i multiplied and got 8/15

- anonymous

great, that's it. And is this the simplest form? Any common factors between 8 and 15?

- anonymous

no none at all

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