en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/((1/a+1/b))

Solution

simplify

\frac{1}{( \frac{1}{a} + \frac{1}{b} )}

Solution

\frac{ab}{b + a}

Solution steps

\frac{1}{\frac{1}{a} + \frac{1}{b}}

Join

\frac{1}{a} + \frac{1}{b} : \frac{b + a}{ab}

= \frac{1}{\frac{b + a}{ab}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{ab}{b + a}

Popular Examples

expand (a-b)^7+2a^3b^3 expand

(a - b)^{7} + 2 a^{3} b^{3}

simplify ((x^2*x^{-3}*x^7))/((x^6*x^{-5)*x^4)}simplify

\frac{( x ^{2} \cdot x ^{- 3} \cdot x ^{7} )}{( x ^{6} \cdot x ^{- 5} \cdot x ^{4} )}

simplify (f(x)1)/(3x-5)simplify

\frac{f ( x ) 1}{3 x - 5}

factor 12x^6-7x^3*y-10y^2 factor

12 x^{6} - 7 x^{3} \cdot y - 10 y^{2}

((x^6))/((y^4))

\frac{( x ^{6} )}{( y ^{4} )}

Frequently Asked Questions (FAQ)

What is 1/((1/a+1/b)) ?
The solution to 1/((1/a+1/b)) is (ab)/(b+a)