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Simplify $\frac{18x^2}{55x} \cdot \frac{121x^3}{9x^4}$

 Jun 28, 2015

Best Answer 

 #1
avatar+128053 
+5

(18x^2) /( 55x)  * (121x^3) / (9x^4)     .....notice that we can rearrange this as....

 

(18/9)* ( 121/55) * (x^2 * x^3) / (x * x^4)  =

 

2 * [ ( 11*11) / (5*11) ]  *[ (x^5)/(x^5)]     ...notice that the last terms "cancel"  and we're left with...

 

2 * (11*11)/(5*11)     and each  "11" in both numerator and denominator "cancels"....so we have...

 

2 * (11/5) = 22/5

 

 

 Jun 28, 2015
 #1
avatar+128053 
+5
Best Answer

(18x^2) /( 55x)  * (121x^3) / (9x^4)     .....notice that we can rearrange this as....

 

(18/9)* ( 121/55) * (x^2 * x^3) / (x * x^4)  =

 

2 * [ ( 11*11) / (5*11) ]  *[ (x^5)/(x^5)]     ...notice that the last terms "cancel"  and we're left with...

 

2 * (11*11)/(5*11)     and each  "11" in both numerator and denominator "cancels"....so we have...

 

2 * (11/5) = 22/5

 

 

CPhill Jun 28, 2015

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