Question

Pick up the rational number from the following number 6/7, -1/2, 0, 1/0, 100/0

Answer 1

Answer:

6/7 , -1/2 , 0 = 0/1 , 100/0

Step-by-step explanation:

1/0 is not a rational number because anything divided by zero is undefined

Rest all are rational because they can be written in the form of p/q, where p and q are rational numbers and q is not equal to zero

Answer 2

Given:

4 values = 6/7, -1/2, 0, 1/0, 100/0

To find:

Rational number =?

Solution:

A rational number can be identified if it can be written in the fractional form of numerator and denominator which is $\frac{p}{q}$ form but the condition is that the denominator q is not equal to 0 and p can be any number.

Based on this fact we will find the rational number from the given options:

1) $\frac{6}{7}$

It can be written as $\frac{Numerator}{Denominator}$. Denominator = 7 (Non zero). It is a positive rational value.

2) $\frac{-1}{2}$

It can be written as $\frac{Numerator}{Denominator}$. Denominator = 2 (Non zero). It is a negative rational value.

3) 0

It can be written as $\frac{Numerator}{Denominator}$. Denominator = 1 (Non zero). It is a rational value.

4) $\frac{1}{0}$

It cannot be written as $\frac{Numerator}{Denominator}$. Denominator = 0 (zero). It is not a rational value.

5) $\frac{100}{0}$

It can be written as $\frac{Numerator}{Denominator}$ Denominator = 0 (zero). It is not a rational value.

Hence, out of given options, $\frac{6}{7}$(first option), $\frac{-1}{2}$(second option), and 0 (third option) is the rational numbers.