anonymous
  • anonymous
Combine like terms to simplify the expression.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
\[\frac{ 7 }{ 8 }m+\frac{ 9 }{ 10 }-2m-\frac{ 3 }{ 5 }\]
anonymous
  • anonymous
umm well take it one step at a time \[\frac{ 9 }{ 10 } - \frac{ 3 }{ 5 }\]
anonymous
  • anonymous

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anonymous
  • anonymous
welshfella
  • welshfella
bring all like terms together you have 2 types here - terms in m and numbers so we have (7/8) m - 2m + 9 /10 - 3/5
welshfella
  • welshfella
to work out the terms in m first calculate 7/8 - 2 which by making everything in denominator 8 is 7/8 - 16/8 = -9/8 so the first 2 terms work out to (-9/8) m or -9 m -- 8
welshfella
  • welshfella
I have trouble with the equation editor and Latex thats why i dont use them
welshfella
  • welshfella
now you can work out + 9/10 - 3/5 by converting the 3/4 to something / 10 - can you do that?
welshfella
  • welshfella
* converting the 3/5
welshfella
  • welshfella
to convert 3/5 to 10th's multiply the top of the fraction and the bottom by 2
welshfella
  • welshfella
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anonymous
  • anonymous
im still lost
anonymous
  • anonymous
anonymous
  • anonymous
taramgrant0543664
  • taramgrant0543664
So I'm just going to start over, First thing to do is create a common denominator between 9/10 and -3/5 To do this we want to get the lowest number on the bottom we can, 10 can not get lower so 5 has to go up To make 10, 5 needs to get multiplied by 2 and whatever we do to the bottom we must do to the top (3x2)/(5x2) =?/?
anonymous
  • anonymous
if i am correct it would be 15/2 or 15/4 right
taramgrant0543664
  • taramgrant0543664
(3x2)/(5x2) =?/? For this? Or are you talking for the 9/10-3/5?
anonymous
  • anonymous
(3x2)/(5x2)=?/?
taramgrant0543664
  • taramgrant0543664
3x2=6 5x2= 10 Therefore the fraction is 6/10
anonymous
  • anonymous
oh ok
taramgrant0543664
  • taramgrant0543664
So now that we have created a common denominator we can then do (9/10)-(6/10)=? Which is the same as saying (9-6)/10=?
anonymous
  • anonymous
so the complete answer would be 3/10
taramgrant0543664
  • taramgrant0543664
For that part yes but now we need to look at the ones that have the variable m
anonymous
  • anonymous
ok
taramgrant0543664
  • taramgrant0543664
So we have (7/8)m and -2m Let's just ignore the ms for now so that we can get the common denominator So 7/8 and 2 (this can also be 2/1) To get the bottom numbers to be the same the lowest common denominator is 8 So (2x8)/(1x8)=?
anonymous
  • anonymous
i gtg ill message u at 1 to continue with this
taramgrant0543664
  • taramgrant0543664
I'll be at work so I won't be on just so you know
taramgrant0543664
  • taramgrant0543664
But all you have to do is this (2x8)/(1x8)=? (7/8)-(16/8)= ?/? Since we ignored the m we have to put it back in and there will be the m So your answer will look like ?m/? Now you take the number with the variable m and add 3/10 as we had found that before So it'll be ?m/? + 3/10

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