SOLUTION: if 1/a = 1/b - 1/c ,what is the value of c

Question 1124733: if 1/a = 1/b - 1/c ,what is the value of c
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The denominators are a, b and c. The lowest common denominator LCD is the product of all three values: a*b*c

If we multiply everything by the LCD, then the denominators cancel out making the fractions go away.

Multiply each of the three terms by the LCD a*b*c

Notice these pairs match up

Those same pairs divide and cancel out (since x/x = 1 where x is nonzero)

The fractions are gone at this point. Let's isolate c

Subtract ac from both sides

Factor out the common factor c

Divide both sides by (b-a)

The answer is
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