Is Every Rational Number a Fraction?

Is every rational number a fraction?

Every fraction is a rational number but a rational number need not be a fraction.

Let a/b be any fraction. Then, a and b are natural numbers. Since every natural number is an integer. Therefore, a and b are integers. Thus, the fraction a/b is the quotient of two integers such that b ≠ 0.

Hence, a/b is a rational number.

We know that 2/-3 is a rational number but it is not a fraction because its denominator is not a natural number.

Since every mixed fraction consisting of an integer part and a fractional part can be expressed as an improper fraction, which is quotient of two integers.

Thus, every mixed fraction is also a rational number.

Hence, every fraction is also a rational number.

Let us determine whether the following rational numbers are fractions or not:

(i) 1/3

1/3 is a fraction. Since both the numerator (1) and the denominator (3) are natural numbers.

(ii) 6/3

6/3 is a fraction. Since both the numerator (6) and the denominator (3) are natural numbers.

(iii) (-5)/(-3)

(-5)/(-3) is not a fraction. Since both the numerator (-5) and the denominator (-3) are not natural numbers.

(iv) (-17)/9

-17/9 is not a fraction. Since the numerator is -17 and which is not a natural number.

(v) 35/(-4)

35/(-4) is not a fraction. Since the denominator is -4 and which is not a natural number.

(vi) 41/1

41/1 is a fraction. Since both the numerator (41) and the denominator (1) are natural numbers.

(vii) 0/1

0/1 is not a fraction. Since the numerator is 0 and which is not a natural number.

(viii) 1/10

1/10 is a fraction. Since both the numerator (1) and the denominator (10) are natural numbers.

So, from the above explanation we conclude that every rational number is not a fraction.

Rational Numbers

What is Rational Numbers?

Is Every Rational Number a Natural Number?

Is Zero a Rational Number?

Is Every Rational Number an Integer?

Is Every Rational Number a Fraction?

Positive Rational Number

Negative Rational Number

Equivalent Rational Numbers

Equivalent form of Rational Numbers

Rational Number in Different Forms

Properties of Rational Numbers

Lowest form of a Rational Number

Standard form of a Rational Number

Equality of Rational Numbers using Standard Form

Equality of Rational Numbers with Common Denominator

Equality of Rational Numbers using Cross Multiplication

Comparison of Rational Numbers

Rational Numbers in Ascending Order

Representation of Rational Numbers on the Number Line

Addition of Rational Number with Same Denominator

Addition of Rational Number with Different Denominator

Properties of Addition of Rational Numbers

Subtraction of Rational Number with Different Denominator

Subtraction of Rational Numbers

Properties of Subtraction of Rational Numbers

Simplify Rational Expressions Involving the Sum or Difference

Multiplication of Rational Numbers

Properties of Multiplication of Rational Numbers

Rational Expressions Involving Addition, Subtraction and Multiplication

Division of Rational Numbers

Rational Expressions Involving Division

Properties of Division of Rational Numbers

To Find Rational Numbers

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

Recent Articles

1. Adding 1-Digit Number | Understand the Concept one Digit Number

Sep 17, 24 02:25 AM

Understand the concept of adding 1-digit number with the help of objects as well as numbers.

2. Counting Before, After and Between Numbers up to 10 | Number Counting

Sep 17, 24 01:47 AM

Counting before, after and between numbers up to 10 improves the child’s counting skills.

3. Worksheet on Three-digit Numbers | Write the Missing Numbers | Pattern

Sep 17, 24 12:10 AM

Practice the questions given in worksheet on three-digit numbers. The questions are based on writing the missing number in the correct order, patterns, 3-digit number in words, number names in figures…

4. Arranging Numbers | Ascending Order | Descending Order |Compare Digits

Sep 16, 24 11:24 PM

We know, while arranging numbers from the smallest number to the largest number, then the numbers are arranged in ascending order. Vice-versa while arranging numbers from the largest number to the sma…

5. Worksheet on Tens and Ones | Math Place Value |Tens and Ones Questions

Sep 16, 24 02:40 PM

In math place value the worksheet on tens and ones questions are given below so that students can do enough practice which will help the kids to learn further numbers.

Rational Numbers - Worksheets

Worksheet on Rational Numbers

Worksheet on Lowest form of a Rational Number

Worksheet on Standard form of a Rational Number

Worksheet on Equality of Rational Numbers

Worksheet on Comparison of Rational Numbers

Worksheet on Representation of Rational Number on a Number Line

Worksheet on Properties of Addition of Rational Numbers

Worksheet on Rational Expressions Involving Sum and Difference

Worksheet on Multiplication of Rational Number

Worksheet on Division of Rational Numbers

Worksheet on Finding Rational Numbers between Two Rational Numbers

Worksheet on Word Problems on Rational Numbers

Objective Questions on Rational Numbers