Well we first have to multiply the fractions then add. So let's start with \(\dfrac{1}{4}*\dfrac{5}{6}\)
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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
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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
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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
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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
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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
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OpenStudy (anonymous):
so its going to be \[1\frac{ 2 }{ 24 }\] @sammixboo