SOLUTION: {{{(5n+1)/6}}} + {{{(3n-2)/8}}}

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Question 616515: +
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
 + 

1. Put parentheses around the numerators:

 + 

2. The denominators are 6 and 8

3. The smallest positive whole number which 6 and 8 will both 
   go into without leaving a remainder is 24.

4. 24 is the LCD, the least common denominator.

5. The denominator 6 needs to be multiplied by 4 to become 24.

6. We multiply the first fraction by the fraction , which
   will not change the value because multiplying by  is the
   same as multiplying by 1.

· + 

7. The denominator 8 needs to be multiplied by 3 to become 24.

8. We multiply the second fraction by the fraction , which
   also will not change the value because multiplying by  is 
   the same as multiplying by 1.

· + ·

9. Multiply numerators and denominators:

  + 

10.  Finish the multiplications:

 + 

11.  Now that the fractions have equal denominators, we add
    the two numerators and place it over the 24.



12. Remove the parentheses in the numerator:



13. Combine like terms in the numerator:

  

Edwin
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