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Least common denominator

How do I find the LCD of k2+k-42/1-k and k2-k-30/k-1

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2 Answers

To find the LCD you only have to focus on the denominators of each fraction: 1-k and k-1

Multiply them to each other by using the FOIL method: (1-k) * (k-1) = k-1-k2+k

Simplify the answer: k2+2k-1

k2  +  k  -  42                                                           k2  -  k  -  30

1        1    1-k                                                          1       1     k-1

The denominators are:

1  and  1-k                                                                 1 and k-1

This means you need to get the denominator to be:

1-k                                                                               k-1

In case you need help once you have the denominators. I will leave the original outside of parenthesis and the mulitplier inside. Remember you have to multiply both the top and bottom of a fraction if you are altering it in any way.

k2 (1-k) +  k (1-k) -  42                                               k2  (k-1) -  k (k-1) -  30

1  (1-k)     1 (1-k)    1-k                                               1  (k-1)    1  (k-1)   k-1

This gives you:

k2 - k3 + k - k2 - 42                                                    k3 - k2 - k2 - k - 30

           1-k                                                                           k-1

Simplify further and put into correct order:

-k3 + k - 42                                                                  k3 -2k2 - k - 30

      1-k                                                                                 k-1



I interpreted the problem differently than Danielle (above). I saw two totally different problems, she saw one. I hope between the two of us you were able to get the information you needed.