Matt is making cookies. He adds 3 over 4 cup of sugar to a bowl. He then removes two 1 over 8 cups of sugar. Which of the following best explains the amount of sugar left in the bowl?

- anonymous

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- anonymous

tal tal the multiple choices are too long and i cant copy and paste sorry

- Tal_Tal

Well you subtract 3/4 and 1/8 do you know how?

- anonymous

nope

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- Tal_Tal

okay let me try to explain this hold on

- anonymous

no prob

- Tal_Tal

1/8 = 1/8 - you're set for the first one.
3/4 x 2/2 = 6/8 - all I did there was multiply the fraction by '1' only in the form of '2/2.'
1/8 - 6/8
Just subtract the numerators.
-5/8 -- ANSWER.
Hope this helped, and good luck!! :)

- anonymous

that is not one of my multiple choices so idk.....

- Tal_Tal

Oh can you just put the numbers for your choices

- anonymous

3/8,3/8, 4/8, 4/8

- mathstudent55

@Tal_Tal An important part of solving a math problem is getting an answer that makes sense. The problem states that a person added an amount of sugar to a bowl. Then some sugar was removed from the bowl. You can end up with some sugar or no sugar in the bowl, but your answer of a negative amount makes no sense because it has no meaning in the real world. That means your answer cannot be correct.

- mathstudent55

@abby1012
I'm trying to understand the problem.
At first, 3/4 cup of sugar was added to the bowl, right?

- Tal_Tal

Thank you for pointing that out I'll keep that in mind next time!

- anonymous

um okay so if his own is wrong what is it ?

- anonymous

yes @mathstudent55 but it has because and then it has numbers sorry cant copy and paste

- mathstudent55

3/4 cup was added to the bowl.
The 2 amounts of 1/8 cup each were taken from the bowl.
Is this what the problem is telling you?

- mathstudent55

@abby1012
It's ok. That's why I'm asking to make sure I understand the problem before I try to help you.

- anonymous

yes i guess

- anonymous

- anonymous

that is all i can copy and paste

- mathstudent55

\(\sf He ~adds ~3/4 ~cup ~of ~sugar ~to ~a ~bowl.\)
\(\sf He ~then ~removes ~\color{red}{two}~ 1/8 ~cups ~of ~sugar.\)

- anonymous

@vzfreakz

- anonymous

yip

- mathstudent55

|dw:1444240879406:dw|

- anonymous

yes

- Tal_Tal

Mathstudent can you help me with my question once you are done? thank you!!

- mathstudent55

That means this is the calculation we need to do.
|dw:1444241012258:dw|

- mathstudent55

@Tal_Tal yes

- anonymous

@vzfreakz

- anonymous

and @mathstudent55 yes

- mathstudent55

Since we are subtracting fractions, we need a common denominator.
The LCD of 4 and 8 is 8, so we will use a common denominator of 8 for all 3 fractions.

- mathstudent55

|dw:1444241100493:dw|

- anonymous

ok

- mathstudent55

@abby1012 Do you follow so far?

- anonymous

yip i am still folowing

- mathstudent55

When we subtract fractions, we subtract the numerators and just keep the common denominator.

- mathstudent55

|dw:1444241197965:dw|

- mathstudent55

What is 6 - 1 - 1 ?

- mathstudent55

|dw:1444241249035:dw|

- mathstudent55

|dw:1444241288309:dw|

- anonymous

it is equal 4

- mathstudent55

Correct.
6 - 1 - 1 = 4, so our numerator is now 4.
The denominator is 8, so we have 4/8

- anonymous

yip i see four over 8 on my multiple choice

- anonymous

thanks i get it

- mathstudent55

Since we now have 4/8, we need to reduce the fraction.
We notice that both 4 and 8 are divisible by 4, so we can divide the numerator and denoninator by 4.

- mathstudent55

|dw:1444241400761:dw|

- anonymous

my multiple choice just wants 4/8 and why is it 4/8

- mathstudent55

There is no 1/2 in your choices?

- anonymous

no

- mathstudent55

Then 4/8 is correct.

- anonymous

but thanks u helped alot

- mathstudent55

You're welcome.

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