hunterfarr49
contestada

How are the rules for dividing two negative fractions related to the rules for multiplying
two negative fractions? Will the answer be positive or negative? Explain.

Respuesta :

marisela25
The answer will be negative, the rules are a negative plus a negative equals a positive and a positive plus a positive equals a negative
boffeemadrid

The relation between multiplying and dividing two negative fractions is needed.

When multiplying and dividing two negative fractions the answer will be always positive.

Let [tex]-\dfrac{a}{b}[/tex] be one fraction

and [tex]-\dfrac{c}{d}[/tex] be another fraction

Let us multiply them

[tex]-\dfrac{a}{b}\times -\dfrac{c}{d}=+\dfrac{ac}{bd}[/tex]

Let us divide them

[tex]\dfrac{-\dfrac{a}{b}}{-\dfrac{c}{d}}[/tex]

This can also be written as

[tex]-\dfrac{a}{b}\times -\dfrac{d}{c}=+\dfrac{ad}{bc}[/tex]

Since, multiplication and division are the inverse of each other the negative signs cancel each other and the sign is positive.

Hence, when multiplying and dividing two negative fractions the answer will be always positive.

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