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Mathematics 22 Online
OpenStudy (anonymous):

@sammixboo I need your help lol

OpenStudy (alexandervonhumboldt2):

yes

sammixboo (sammixboo):

And Sammi to the rescue >:D

OpenStudy (alexandervonhumboldt2):

question

OpenStudy (anonymous):

\[\frac{ 7 }{ 8 }+\frac{ 1 }{ 4 }*\frac{ 5 }{ 6 }\]

sammixboo (sammixboo):

Well we first have to multiply the fractions then add. So let's start with \(\dfrac{1}{4}*\dfrac{5}{6}\)

sammixboo (sammixboo):

We know that \(\dfrac{1}{4}*\dfrac{5}{6}\) is the same as \(\dfrac{1*5}{4*6}\) So to solve this, first multiply 1*5 and 4*6

OpenStudy (anonymous):

so its going to be \[\frac{ 5 }{ 24}\]

sammixboo (sammixboo):

Right, so now we have \(\dfrac{ 7 }{ 8 }+\dfrac{ 5 }{ 24 }\) Now we need to make 7/8 and 5/24 have the same denominator. We are going to keep 5/24 the same, but to have 7/8 have the denominator of 24, what do we have to multiply 8 by to get 24

sammixboo (sammixboo):

I am awful at explaining this xD

OpenStudy (anonymous):

3 @sammixboo

sammixboo (sammixboo):

Right, so we have to multiply the numerator and denominator of 7/8 by 3, so we have \(\dfrac{7*3}{8*3}\)

sammixboo (sammixboo):

Which is?

OpenStudy (anonymous):

\[\frac{ 21 }{ 24 }\] @sammixboo

sammixboo (sammixboo):

Right, so we have \(\dfrac{21}{24}+\dfrac{5}{24}\) which is the same as \(\dfrac{21+5}{24}\) which is?

OpenStudy (anonymous):

\[\frac{ 26 }{ 24 }\] @sammixboo

sammixboo (sammixboo):

Right. Do you know how to simplify that?

OpenStudy (anonymous):

to be honest i don't @sammixboo

OpenStudy (anonymous):

@sammixboo

sammixboo (sammixboo):

How many times can 24 go into 26 evenly?

OpenStudy (anonymous):

2

sammixboo (sammixboo):

1 time

sammixboo (sammixboo):

So we know that 1 is our whole number. Whats 26 - 24?

OpenStudy (anonymous):

wait so it going be \[1\frac{ 26 }{ 24 }\]

sammixboo (sammixboo):

Not quite. What is 26 - 24?

OpenStudy (anonymous):

1.08

OpenStudy (anonymous):

im sorry im not god at this

sammixboo (sammixboo):

26 - 24 is 2, right? so 2 is our numerator, so we have \(1\dfrac{2}{24}\)

OpenStudy (anonymous):

ooh okay wow im so sorry see I need help witht his kind of problem

OpenStudy (anonymous):

so that's the answer

OpenStudy (anonymous):

@sammixboo so that's answer

OpenStudy (anonymous):

so its going to be \[1\frac{ 2 }{ 24 }\] @sammixboo

sammixboo (sammixboo):

1 and 1/12 which is 1 and 2/24 simplified

OpenStudy (anonymous):

so 1 and 1/12 is the answer @sammixboo

sammixboo (sammixboo):

Yup yup

OpenStudy (anonymous):

thank youuuu

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