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How do I simplify this;

 

3x+2/3 + 4x-1/6

 

Thanks In Advance,

math algebra
 Aug 17, 2014

Best Answer 

 #1
avatar+11912 
+8

So we would solve this like

 

First we will place the like terms together and then start solving

 

$$3x+\frac{2}{3}+4x-\frac{1}{6}$$

 

$$=3x+4x+\frac{2}{3}-\frac{1}{6}$$     ( and now we will first add 3x and 4x , we could do the two parts of the expression together but this may not help u learn easily if we solve the two parts together)

 

$$=7x+\frac{2}{3}-\frac{1}{6}$$      ( and now we will solve the second part, here we have to make both the fraction have ame denominator se we will do it like this  $$\frac{2}{3}\frac{*}{*}\frac{2}{2}=\frac{4}{6}$$ , this has given us the first faction and we dont need to do this with the sacond fraction as it already has a denominator 6)

 

$$7x+\frac{4}{6}-\frac{1}{6}$$    (and now we will simply subtract the two fractions)

 

$$=7x + \frac{3}{6}$$     ( as we can reduce 3/6 and change it into 1/2 so we will do it like that)

 

$$=7x+\frac{1}{2} $ ANSWER $$$

 

I hope you have understood by now but if not then pls be free to ask!

 

I hope this helps!

 

And...............................

 

Your Welcome!

 Aug 17, 2014
 #1
avatar+11912 
+8
Best Answer

So we would solve this like

 

First we will place the like terms together and then start solving

 

$$3x+\frac{2}{3}+4x-\frac{1}{6}$$

 

$$=3x+4x+\frac{2}{3}-\frac{1}{6}$$     ( and now we will first add 3x and 4x , we could do the two parts of the expression together but this may not help u learn easily if we solve the two parts together)

 

$$=7x+\frac{2}{3}-\frac{1}{6}$$      ( and now we will solve the second part, here we have to make both the fraction have ame denominator se we will do it like this  $$\frac{2}{3}\frac{*}{*}\frac{2}{2}=\frac{4}{6}$$ , this has given us the first faction and we dont need to do this with the sacond fraction as it already has a denominator 6)

 

$$7x+\frac{4}{6}-\frac{1}{6}$$    (and now we will simply subtract the two fractions)

 

$$=7x + \frac{3}{6}$$     ( as we can reduce 3/6 and change it into 1/2 so we will do it like that)

 

$$=7x+\frac{1}{2} $ ANSWER $$$

 

I hope you have understood by now but if not then pls be free to ask!

 

I hope this helps!

 

And...............................

 

Your Welcome!

rosala Aug 17, 2014

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