Question

Which set of numbers does 4/7 belong to?

Answer 1

Option A: Real numbers

Option D: Rational number

Solution:

To find $\frac{4}{7}$ is which type of number:

Option A: Real numbers

Real numbers include natural numbers, whole numbers, integers, rational numbers, irrational numbers.

Therefore, $\frac{4}{7}$ 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, $\frac{4}{7}$ 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, $\frac{4}{7}$ is not a irrational number.

Option D: Rational number

A rational number is a number that can be in the form $\frac{p}{q}$, where p and q are integers and q is not equal to zero.

So, $\frac{4}{7}$ is a rational number.

Option E: Integers

Integers are like whole numbers but they also have negative numbers.

So, $\frac{4}{7}$ 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 $\frac{4}{7}$ is not a whole number.

Therefore Option A and Option D is the correct answer.

Hence $\frac{4}{7}$ belongs to real numbers and rational numbers.