rawrrainbowsz2
1/3y + 1/4 =5/12
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rawrrainbowsz2
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|dw:1350228174103:dw|
rawrrainbowsz2
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do i simplfy ?
JenniferSmart1
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you would need common denominators, before you do anything. Do you know how to do that? I can walk you through it if you're not familiar with that
rawrrainbowsz2
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yea one min
rawrrainbowsz2
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|dw:1350228511155:dw|
JenniferSmart1
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almost
So it's
\[\frac{4}{12}y+\frac{3}{12}=\frac{5}{12}\]
because
\[\frac44\cdot \frac{1}{3}y+\frac33 \cdot \frac{1}{4}=\frac{5}{12}\]
JenniferSmart1
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does that make sense?
rawrrainbowsz2
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so 5/12 stays the same ?
JenniferSmart1
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yes because it already has the common denominator of 12. We're trying to make it so that all the numbers have 12 on the bottom
JenniferSmart1
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now we can solve for y
rawrrainbowsz2
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ok im re writing it
rawrrainbowsz2
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|dw:1350228980674:dw|
rawrrainbowsz2
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i got stuck
JenniferSmart1
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\[\frac{4}{12}y+\frac{3}{12}=\frac{5}{12}\]
ok now we need to get \[\frac3{12}\] over to the right hand side of the equal sign
so subtract \[\frac3{12}\] from both sides
\[\frac{4}{12}y+\cancel{\frac{3}{12}-\frac3{12}}=\frac{5}{12}-\frac3{12}\]
rawrrainbowsz2
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4/12y =2/12
JenniferSmart1
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yes!
JenniferSmart1
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now we need to get the y out of the denominator. do you know how to do that?
rawrrainbowsz2
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multiply ?
JenniferSmart1
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wait, is y in the denominator or is it just like this:
\[\frac4{12}y =\frac2{12}\]
JenniferSmart1
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was this the original equation?
\[\frac{4}{12}y+\frac{3}{12}=\frac{5}{12}\]
or this
\[\frac{4}{12y}+\frac{3}{12}=\frac{5}{12}\]
?
rawrrainbowsz2
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the 1st one
JenniferSmart1
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sorry i've been mistyping let's try that again LOL
JenniferSmart1
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\[\frac{4}{12}y=\frac{2}{12}\]
now we can multiply both sides by \[\frac{12}1\] to get rid of the 12 in the denominator because we don't need it anymore. It makes it easier to solve for y this way
so
\[\frac{12}1 \cdot \frac{4}{12}y=\frac{12}1 \cdot \frac{2}{12}\]
rawrrainbowsz2
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is it 2 ? :D
JenniferSmart1
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almost
so we're left with
4y=2
so what does y=?
rawrrainbowsz2
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2 .....
JenniferSmart1
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\[y=\frac24\]
rawrrainbowsz2
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:( i was close
JenniferSmart1
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because we have to divide by 4 to get y by itself
JenniferSmart1
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Yep you were almost there!
so now you just need to simplify \[\frac24\]
rawrrainbowsz2
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ohhh ok lol
rawrrainbowsz2
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1/2
JenniferSmart1
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\[y=\frac12\]
very good!