Option A: Real numbers
Option D: Rational number
Solution:
To find [tex]\frac{4}{7}[/tex] is which type of number:
Option A: Real numbers
Real numbers include natural numbers, whole numbers, integers, rational numbers, irrational numbers.
Therefore, [tex]\frac{4}{7}[/tex] is a real number.
Option B: Natural numbers
Number starting from 1 and goes on. i.e. 1, 2, 3, ....
There is no fractions and negative numbers in natural numbers.
So, [tex]\frac{4}{7}[/tex] is not a natural number.
Option C: Irrational number
A irrational number is a number which cannot be written as ratio of two numbers.
So, [tex]\frac{4}{7}[/tex] is not a irrational number.
Option D: Rational number
A rational number is a number that can be in the form [tex]\frac{p}{q}[/tex], where p and q are integers and q is not equal to zero.
So, [tex]\frac{4}{7}[/tex] is a rational number.
Option E: Integers
Integers are like whole numbers but they also have negative numbers.
So, [tex]\frac{4}{7}[/tex] is not integers
Option F: Whole numbers
Number starting from 0 and goes on.
There is no fractions and negative numbers in whole numbers.
So [tex]\frac{4}{7}[/tex] is not a whole number.
Therefore Option A and Option D is the correct answer.
Hence [tex]\frac{4}{7}[/tex] belongs to real numbers and rational numbers.
