In this chapter we will try to answer the question, “** if fraction can be a rational number ?** “

If yes, then the next question arises ” **is every fraction a rational number ?** “.

To understand the explanation, you should have basic understanding of the concept of fractions and rational numbers.

Let us first review the both the above concepts.

## What are fractions ?

The number which have **both numerators and denominators** are called **fraction**.

The fraction **represents the part of whole number.**

The numbers \mathtt{\frac{1}{5} ,\ \frac{2}{10} ,\ \frac{3}{2}} are all examples of fractions.

Note that fractions **do not involve negative numbers.**

If you want to learn about **fractions in detail**, click the red link.

## What are Rational Numbers ?

The numbers which can be** expressed in the form of P / Q **are called **rational numbers.**

Here both P & Q are integers.

Numbers like \mathtt{\frac{3}{2} ,\ \frac{15}{17} ,\ 6.78,\ 7.13} are examples of rational numbers.

If you want to study about **rational numbers in detail**, click the red link.

## Can a fraction be a rational number ?

The answer is **YES !!!**

In fact all the possible fractions are part of rational numbers.

Since the **fractions are already arranged in the form of P / Q**, it’s identification as a rational number is a no brainer.

**For example;**

Consider the fraction \mathtt{\frac{7}{11}}

Since the fraction 7 / 11 is in form of P/Q, it is a rational number.

But the **opposite is not the case.****Not every rational number is a fraction.****For example;**

Consider the rational number \mathtt{\frac{-3}{5}}

Here the number \mathtt{\frac{-3}{5}} is not a fraction since it contains negative number in numerator.**Example 02**

Consider the rational number 6

The number 6 is not a fraction as it doesn’t have numerator and denominator.

**Conclusion**

All fractions are rational number. But not all rational numbers are fraction.