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Mathematics 6 Online
OpenStudy (anonymous):

3/4u+1/2=7/8

hero (hero):

1. Multiply 1/2 by 2/2. Let me know what you get afterwards

OpenStudy (anonymous):

\[\frac{ 3 }{ 4}u +\frac{ 1 }{ 2 }=\frac{ 7 }{ 8 }\] and 1

OpenStudy (anonymous):

i got 2/4

hero (hero):

Okay, so now you have \[\frac{3u}{4} + \frac{2}{4} = \frac{7}{8}\] Now since the left side has fraction with the same denominator combine them together. Let me know what you get.

OpenStudy (anonymous):

\[\frac{ 5u }{ 4 }=\frac{ 7 }{ 8 }\]

hero (hero):

Okay, so cross multiply that.

OpenStudy (anonymous):

28/40

hero (hero):

I think you mean 40u = 28

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

0.7

OpenStudy (anonymous):

now how do i turn that into a fraction

hero (hero):

0.7 means seven-tenths right?

OpenStudy (anonymous):

yeah

hero (hero):

And seven-tenths means the same as 7/10 right?

OpenStudy (anonymous):

yeah but 7/10 isnt a choice for me to choose from

hero (hero):

That u variable...was it in the numerator or the denominator of the original problem?

OpenStudy (anonymous):

neither

hero (hero):

interesting...Let me try something...

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

these are my choices 1/4 1/2 1 or 3/8

hero (hero):

Yeah, I realize that I wasn't monitoring you very well. You made a mistake while combining the fraction.

OpenStudy (anonymous):

what??

hero (hero):

When you combined \[\frac{3u}{4} + \frac{2}{4} = \frac{7}{8}\] You cannot add 3u + 2 to get 5u

hero (hero):

When you combine fractions on the left side you end up with \[\frac{3u + 2}{4} = \frac{7}{8}\]

hero (hero):

From there, you cross multiply

OpenStudy (anonymous):

i dont get it now im completely lost

hero (hero):

When you see something like x + 2, you don't combine that to get 2x because that would not be correct would it?

OpenStudy (anonymous):

i guess not

hero (hero):

I'm sorry, you're confused but when you see problems with expressions like x + 2, you cannot add those together directly. I thought you were already familiar with "like terms"

OpenStudy (anonymous):

i am but now im confused

hero (hero):

If you were familiar with like terms you would know that you can only combine numbers in this manner: 3 + 4 = 7 7u + 4u = 11u 2xy + 4xy = 6xy See the pattern here?

hero (hero):

Those are all like terms because they have the same things in common.

OpenStudy (anonymous):

yeah but there arent any like terms in this equation

hero (hero):

You cannot combine 4x + 2u 6x + 5 8xy + 6u 6 + 7x

hero (hero):

Why? Because they are not like terms

OpenStudy (anonymous):

obviously

hero (hero):

Like Terms 4 + 6 = 10 x + 3x = 4x 6a - 2a = 4a Unlike Terms 7x + 5 2a + 6b 8u + 5x 8ab + 2xy

hero (hero):

Are you getting it yet?

OpenStudy (anonymous):

ok i get all that now can you help me pls

hero (hero):

I thought I WAS helping.

hero (hero):

3u + 2 What does that equal?

OpenStudy (anonymous):

3u+2

hero (hero):

Exactly. Now just cross multiply.

hero (hero):

\[\frac{3u + 2}{4} = \frac{7}{8}\]

OpenStudy (anonymous):

3u+16=28

hero (hero):

8(3u + 2) = 28

OpenStudy (anonymous):

im completely lost now

hero (hero):

Every step seems to completely lose you. I thought you knew how to cross multiply.

OpenStudy (anonymous):

8(3u + 2) = 28 this equation doesnt look like cross multiplying

hero (hero):

Let me re-write it this way: 8(3u + 2) = 4(7)

OpenStudy (anonymous):

ok

hero (hero):

Cross multiplication is multiplying the opposite numerators with the opposite denominators. You don't multiply part of an expression when cross multiplying. You multiply the entire expression.

OpenStudy (anonymous):

ok 8(3u + 2) = 28 so how do i do the 8(3u+2) part of the equation

hero (hero):

Ever heard of distributive property? a(b+c) = ab + bc

OpenStudy (anonymous):

yes

hero (hero):

I didn't know you needed help with every basic concept in the book.

OpenStudy (anonymous):

24u=26/24??

hero (hero):

Now how did you end up with a fraction again? I thought we got rid of those. You didn't apply distributive property very well.

hero (hero):

8(3u + 2) = 28 becomes: 8*3u + 8*2 = 28

OpenStudy (anonymous):

well you confused me with this whole problem i didnt need help with every step until you confused me so excuse me for making me feel stupid

hero (hero):

Are you going to finish the problem?

OpenStudy (anonymous):

idk are you going to stop confusing me??

OpenStudy (anonymous):

26/24 part isnt a fraction i was asking if i divide them??

OpenStudy (anonymous):

??? are you going to finish helping me??

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