SOLUTION: Science and medicine. The combined resistance of two resistors, R1 and R2 in a parallel circuit is given by the formula. Rt= 1/ 1/R1 + 1/R2 Simplify the formula. Please h

Question 78666: Science and medicine. The combined resistance of two resistors, R1 and R2 in a parallel circuit is given by the formula.
Rt= 1/ 1/R1 + 1/R2
Simplify the formula.
Please help me to simplify the formula above.
Note: the denominators are 1/R1 + 1/R2
Thank you for helping me.
sean32485
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!

This is called a "complex fraction." To simplify it, multiply
the numerator and the denominator by the LCD of the fractions
in the denominator, i.e. and . "But wait
a minute," you might say, "those are variables. How do I get an LCD?"
Well think about when you had to add . The LCD in this
case is the product of the 3 and 2, or 6. Use the same thinking here
with the variable R1 and R2. The LCD is . To maintain the
equality of the overall fraction, you need to multiply the numerator
and denomenator of the complex fraction by the same number:

Multiplying this out, you get:

It is legal to cancel parts of the fraction in the denominator.
Cancelling the R1 and the R2 gives you:

And you are done.
Good Luck,
tutor_paul@yahoo.com
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