What is the common denominator of StartFraction 1 Over a EndFraction StartFraction 1 Over b EndFraction in the complex fraction StartFraction 1 Over a EndFraction minus StartFraction 1 Over b EndFraction divided by StartFraction 1 Over a EndFraction 1 Over b EndFraction?.

Respuesta :

The common denominator is 1

Given the expression:

  • [tex]\frac{1/a-1/b}{1/a1/b}[/tex]

Find the LCM of the numerator to have:

  • [tex]\dfrac{\frac{b-a}{ab} }{\frac{1}{a} \frac{1}{b} }[/tex]

Simplify both the numerator and the denominator to have:

[tex]= \dfrac{\frac{b-a}{ab} }{\frac{1}{ab} }\\= \frac{b-a}{ab} \times ab\\=\frac{b-a}{1} \times 1 \\=\frac{b-a}{1}[/tex]

From the result, we can see that the common denominator is 1

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Answer:

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Step-by-step explanation:

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