# Mathematics - Class 6 / Grade 6

- Fractions on Number Line
### Fractions on Number Line

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 6th 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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