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after rewriting the mixed number as a fraction. how do you know which number to multiply?

5 1/3  * 1 1/8=     5/1+1/3=  ( 5/1 * 3/3 )+1/3 =    15/3+1/3=   16/3
 
 
1 1/8 =( 1/1 * 8/8 ) + 1/8=  8/8 +1/8=  9/8
 
mixed numbers now fractions
>2*8 *3*3< ---                             the numbers with the arrows pointing at them are the multiples that                                                      im not sure which to multiply for my solution
16  *  9      =
3        8         ____
 
>3*1 * 8*1  <
 
 
 I know how to turn the mixed numbers into fractions, but I do not know which of the numbers to multiply that are on top of and below the fractions that make up the numerator and denominator...??
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1 Answer

OK Elishia,
 
if you got 
 
16  * 9  ,  you just reduce it and multiply top times top and bottom times bottom,
 3      8
 
or you first multiply to times top and bottom times bottom, and then reduce it.
 
So 16*9 = 144   and 3*8 = 24.  
 
that gives you,
 
144,  which you can reduce it by dividing both numbers by 24 to get,  6/1 = 6.
 24
 
OR 
 
reduce it first:
 
16 * 9 
 3     8
 
(2*8) * (3*3) = now you cancel any number that is one the top AND the bottom...
 3            8
 
(2*8) * (3*3) = now you cancel any number that is one the top AND the bottom...
  3            8
 
so those crossed out numbers end up reducing to 1, so the top is (2*1) * (3*1) = 6,
 
and the bottom reduces to 1, so 6/1 - 6.
 
your answer is 6.
 
i hope this helps!!!, kim