Combine like terms to simplify the expression.

- anonymous

Combine like terms to simplify the expression.

- katieb

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- anonymous

\[\frac{ 7 }{ 8 }m+\frac{ 9 }{ 10 }-2m-\frac{ 3 }{ 5 }\]

- anonymous

umm well take it one step at a time \[\frac{ 9 }{ 10 } - \frac{ 3 }{ 5 }\]

- anonymous

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## More answers

- anonymous

- 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

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

I have trouble with the equation editor and Latex thats why i dont use them

- welshfella

now you can work out + 9/10 - 3/5
by converting the 3/4 to something / 10
- can you do that?

- welshfella

* converting the 3/5

- welshfella

to convert 3/5 to 10th's multiply the top of the fraction and the bottom by 2

- welshfella

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- anonymous

im still lost

- anonymous

- anonymous

- 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

if i am correct it would be 15/2 or 15/4 right

- taramgrant0543664

(3x2)/(5x2) =?/?
For this? Or are you talking for the 9/10-3/5?

- anonymous

(3x2)/(5x2)=?/?

- taramgrant0543664

3x2=6
5x2= 10
Therefore the fraction is 6/10

- anonymous

oh ok

- 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

so the complete answer would be 3/10

- taramgrant0543664

For that part yes but now we need to look at the ones that have the variable m

- anonymous

ok

- 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

i gtg ill message u at 1 to continue with this

- taramgrant0543664

I'll be at work so I won't be on just so you know

- 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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