Question

A rational number whose product with a given rational number is equal to the given rational number.

Answer 1

Answer:

Answer:

A rational number is 1

Step-by-step explanation:

Given a statement that is a rational number whose product with a given rational number is equal to the given rational number then

Let the given rational number is

Now, according to statement

$rational \: number \: \times \frac{x}{y} = \frac{x}{y} \\ \\ rational \: number = \frac{ \frac{x}{y} }{ \frac{x}{y} } = 1$

Hence, the rational number is 1

Answer 2

Yes, a rational number whose product with a given rational number is equal to the given rational number.

A rational number is a number that can't be written as a ratio of two integers since the denominator can't be zero. In addition, any fraction falls within the group of rational numbers.

Let the given rational number be  $\frac{P}{Q}$

Now according to the statement,

Rational number  $=\frac{P}{Q}$ × $\frac{P}{Q}$ $= \frac{P}{Q}$

and rational number $=\frac {\frac{P}{Q}}{\frac{P}{Q} }= 1$

Now, suppose, $\frac{1}{1}$ is a rational number.

A rational number's product $\frac{1}{1}$ is always that rational number.

Hence, that rational number is 1.

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