Respuesta :
3/7 produces a rational number when it is multiplied by 1/3.
What is rational number?
A number that can be represented as the quotient p/q of two integers such that q ≠ 0 is called a rational number.
What is irrational number?
An irrational number is a type of real number which cannot be represented as a simple fraction.
What is the product of rational number and a irrational number?
The product of any rational number and any irrational number is always a irrational number.
According to the given question
We have,
1/3 a rational number.
Some numbers , π, 2.236067978, 3/7, √12
Since, π is an irrational number as it is not recurring and not terminating, so its behavior is not known .
And we know that, when we multiply a rational number with a irrational number we get a irrational number.
Therefore, π × [tex]\frac{1}{3}[/tex] = irrational number.
Similarly,
2.236067978.... is a irrational number because it is not terminating and not recurring. And its behavior in not known.
Therefore, 2.236067978 × [tex]\frac{1}{3}[/tex] = irrational number
3/7 is a rational number
So, [tex]\frac{3}{7}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{1}{7}[/tex] is a rational number.
√12 is a irrational number.
So, √12 × [tex]\frac{1}{3}[/tex] = irrational number
Hence, 3/7 produces a rational number when it is multiplied by 1/3.
Learn more about rational number and irrational number here:
https://brainly.com/question/17450097
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