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Adding and Subtracting Unlike Fractions

Add and Simplify

9/44 + 17/36 =

I know the answer is 67/99 but how do i get it?

 Jul 2, 2015

Best Answer 

 #1
avatar+128090 
+10

9/44   + 17/36       we  need to find a common denominator between 44 and 36

 

Note that 44 factors as 4 X 11

 

And 36 factors as 4 X 9     

 

So.....taking each different factor found in both numbers and multiplying them together, we get  4 x 9 x 11  = 36 x 11 = 396....and this is the common denominator

 

So  9/44  =  [9 x 9]/[11 x 4 x 9] =  81/396

 

And   17/36  =  [17 x 11]/ [11 x 4 x 9]  =  187/396

 

So we have ........     81/396 + 187/396  =  268/396    .... and  since both numerator and denominator are even, we can divide them by 2 ....and we get....

 

134/198     and we can divde both by 2, again....and we get

 

67/99

 

And that's it!!!!

 

 

 Jul 2, 2015
 #1
avatar+128090 
+10
Best Answer

9/44   + 17/36       we  need to find a common denominator between 44 and 36

 

Note that 44 factors as 4 X 11

 

And 36 factors as 4 X 9     

 

So.....taking each different factor found in both numbers and multiplying them together, we get  4 x 9 x 11  = 36 x 11 = 396....and this is the common denominator

 

So  9/44  =  [9 x 9]/[11 x 4 x 9] =  81/396

 

And   17/36  =  [17 x 11]/ [11 x 4 x 9]  =  187/396

 

So we have ........     81/396 + 187/396  =  268/396    .... and  since both numerator and denominator are even, we can divide them by 2 ....and we get....

 

134/198     and we can divde both by 2, again....and we get

 

67/99

 

And that's it!!!!

 

 

CPhill Jul 2, 2015
 #2
avatar+118587 
+5

Thanks Chris - I am going to put my 2c worth in now  

$$\\\frac{9}{44} + \frac{17}{36} \\\\
=\frac{9}{11*4} + \frac{17}{9*4} \\\\
=\frac{9*9}{11*4*9} + \frac{17*11}{9*4*11} \\\\
=\frac{9*9+17*11}{11*4*9} \\\\
=\frac{81+187}{11*4*9} \\\\
=\frac{268}{11*4*9} \\\\
=\frac{268\div 4}{11*4*9\div 4} \\\\
=\frac{67}{11*9} \\\\
=\frac{67}{99} \\\\$$

 Jul 3, 2015

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