SOLUTION: If K is a whole nuimber, what is the value of K in this equation to make it true? 1/6+1/K=1/5 K=_________

Algebra ->  Equations -> SOLUTION: If K is a whole nuimber, what is the value of K in this equation to make it true? 1/6+1/K=1/5 K=_________      Log On


   

Question 544781: If K is a whole nuimber, what is the value of K in this equation to make it true?
1/6+1/K=1/5
K=_________
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Let's begin by getting rid of the numbers in the denominators. Do that by multiplying every term on both sides of the equation by 5*6 (or 30) to get:
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%285%2A6%29%281%2F6%29+%2B%285%2A6%29%2FK+=+%285%2A6%29%281%2F5%29
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In the two terms with numerical denominators cancel the denominator with the corresponding number in the term's numerator:
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This makes the equation become:
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5+%2B+%285%2A6%29%2FK+=+6
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Subtract 5 from both sides to get rid of the 5 on the left side:
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%285%2A6%29%2FK+=+1
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Multiply out the numerator on the left side:
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30%2FK+=+1
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Multiply both sides by K to eliminate the denominator on the left side and get:
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30+=+K
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That's the value of K that will satisfy the original equation.
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Hope this helps you to understand the problem.
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