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Popular >

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

Solution

simplify

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

Solution

ab

Solution steps

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

Join

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

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

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{( a + b ) ab}{b + a}

Cancel

\frac{( a + b ) ab}{b + a} : ab

= ab

Popular Examples

factor n^3-125 factor

n^{3} - 125

simplify (16r^2-25t^2)/(4r+5t)simplify

\frac{16 r ^{2} - 25 t ^{2}}{4 r + 5 t}

17.5+4x=-6.5(3x-6)

17.5 + 4 x = - 6.5 (3 x - 6)

(x^2-5x+9)log_{10}(2)+log_{10}(125)=3

(x^{2} - 5 x + 9) lo g_{10} (2) + lo g_{10} (125) = 3

- 5 = u - 7

Frequently Asked Questions (FAQ)

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