SOLUTION: Solve for a: 1/f=1/a+1/b I know the answer is a=bf/b-f

Algebra.Com
Question 452887: Solve for a:
1/f=1/a+1/b
I know the answer is a=bf/b-f

Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
Solve for a:
1/f=1/a+1/b
1/a = 1/f - 1/b
1/a = (b - f)/bf [combining the two fractions using the least common denominator bf]
Taking the reciprocal gives:
a = bf/(b-f)

RELATED QUESTIONS

b + a 1 _______ = ___ ab f solve for b. this is a proportion... (answered by Earlsdon)
The function f has the following properties: * f(a,b) is defined for all positive... (answered by CPhill)
Given the function f(x)=3x-4, evaluate: (a) f(x-2), (b) f(x)-f(2), (c) f(1)/f(3), and... (answered by solver91311,rothauserc)
Given (1/f) = (n - 1)[(1/a) + (1/b)], solve for f. (answered by josgarithmetic,Edwin McCravy,math_tutor2020)
Given that f(x)=sqrt(x+2) is a one-to-one function, find the following: a. f(7) (answered by MathTherapy)
For the function f(t)= 2t+1/5 (a) Evaluate f(2) f(2)= (b) Solve f(t)=4... (answered by Alan3354)
Let M = f(t) be the average number of meals per person purchased at restaurants annually... (answered by stanbon)
The function f satisfies f(a + b) = f(a) + f(b) - ab for all nonnegative integers a... (answered by CPhill,greenestamps)
Hi, I am having problems understanding a problem based on the rule of a function. The... (answered by ikleyn)