### Math - Class 6 - Fractions on Number Line/Proper Fraction on the Number Line/ Mixed number or improper fraction on a number line - Key Points/Notes/Worksheets/Explanation/Lesson

**Tags:**How to Place Fractions on a Number Line for sixth grade, Number Lines & Fractions Greater Than 1 foe 6^{th}standard, Representation of proper fraction on the number line for VI Class, How to Represent Improper Fraction into Number Line for grade 6, Plot fractions greater than one on a number line, Improper fractions and Mixed Numbers on a Number Line, Draw number line and locate 3/7 on it.Fraction on the Number Line

Representation of proper fraction on the number line

__Let us draw a number line and mark ½ on it.__As it is clear that ½ is greater than 0 and less than 1, so it should lie between 0 and 1.

Since, the denominator of the given fraction is 2; divide the space between every pair of two consecutive integers into two equal parts.

To mark 1/2; we will start from 0 and move one part on the right-side of zero.

**Example 1:**Show 3/5 on a number line.

**Solution:**The given number 3/5 is greater than 0 and less than 1.

Since, the denominator of the given fraction is 5, divide the gap between 0 and 1 into 5 equal parts. To mark 3/5; we will start from 0 and move three times on the right-side of zero.

**Example 2:**Show 1/4 on a number line.

**Solution:**The given number 1/4 is greater than 0 and less than 1.

Since, the denominator of the given fraction is 4, divide the gap between 0 and 1 into 4 equal parts. Then, move once on the right-side of zero.

Representation of improper fraction on the number line

In order to represent improper fractions, we first convert them into mixed fractions.

__Let us draw a number line and mark 8/5 on it.__We first convert 8/5 into the mixed fraction.

As it is clear that is greater than 1 and less than 2, so it should lie between 1 and 2.

Since, the denominator of the given fraction is 5; divide the space between every pair of two consecutive integers into five equal parts.

To mark ; we will start from 1 and move 3 times on the right-side of zero.

**Example 3:**Show 4/3 on a number line.

**Solution:**First convert 4/3 into the mixed fraction.

Hence, the given number 4/3 is greater than 1 and less than 2, so it should lie between 1 and 2.

Since, the denominator of the given fraction is 3; divide the space between every pair of two consecutive integers into three equal parts.

To mark ; we will start from 1 and move once on the right-side of zero.

**Facts:**i. Zero divided by any number gives zero and can be shown by the point 0 on the number line. Example: 0/3 or 0/10 or 0/25 is zero.

ii. Number divided by number itself gives 1 and can be shown by the point 1 on the number line. Example: 3/3 or 5/5 or 17/17 is 1.

iii. Proper fractions lie to the left of 1 on the number line as they are less than 1.

iv. Improper fractions lie to the right of 1 on the number line as they are greater than 1.

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