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hkI need help with understanding problems like these. I got these right after a few choices but need help please

 Feb 3, 2021
 #1
avatar+121047 
+3

Here's  the  easy  way

 

Suppose we  have 

 

6q^2  + 12 q

__________

        2q

 

Since  we have addition on the top....we can  just   divide  this up  as

 

6q^2                12q

_____  +        _____   =

  2q                    2q

 

 

3q   +  6     !!!

 

Works the  same with subtraction

 

 

Be careful,though

 

We CANNOT   split   multiplication

 

6x^2                                                   6             x^2

____    does   NOT EQUAL            ____ *       ____

 2x                                                     2x             2x

 

 

Here....we  just  cancel  on top/bottom  =   3x

 

 

Hope that helps....

 

cool cool cool

 Feb 3, 2021
 #2
avatar+114880 
+3

Thanks Chris,

 

I'll give it a go too :)

 

Say you want to simplify the fraction    \(\frac{10}{15}\)

 

what you need to look for is common factors for the top and bottom, the common factor here is 5

 

\(\frac{10}{15}=\frac{5*2}{5*3}\)

 

I can cancel out the common factor and I will be left with     \(\frac{2}{3}\)

 

----------------------------

 

It works exactly the same there are letters involved.

 

\(\frac{9(x+y)}{9}=\frac{{9}*(x+y)}{9*1}=\frac{(x+y)}{1}=x+y\)

 

 

\(\frac{3t+6t^2}{3t}=\frac{3t*(1+2t)}{3t*1}=\frac{1+2t}{1}=1+2t\)

 Feb 3, 2021
 #3
avatar+198 
+1

Thanks for the help you guyssmiley

Elijah  Feb 5, 2021

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