Placing Fractions on a Number Line

Introduction of placing fraction on Number Line:

The number placed in the correct positions that have both positive and negative in a line is called as number line, where zero is placed at the center of the number line. Fractions can also be placed on the number line in correct place. Let see below the number line has been drawn show the number in correct place. Here we see how can point the correct placing of fractions on the number line.



Placing Fractions on the Number Line:

The fractions on the number line can mark the point in correct place easily.

Positive Fractions on the Number line:

Let take one positive fraction as `(13)/(4)` and see how to point that number in correct place on the number line.



Procedure for placing the fractions on the number line:

Step 1: Convert the fractions as mixed number.

The fraction  `(13)/(4)` = 3 ¼

Step 2: Keep the whole number 3 as it is.

Step 3: Dive the part in between 3 to 4 as 4 and mark the point as per the numerator of the fraction

Another Method:

Step 1: Keep the whole number as it

Step 2: Convert the fraction  `(1)/(4)` to decimal form.

The fraction of ¼ is equal to 0.25 decimal forms.

Step 3: Mark the point 0.2 after the whole number 3 as 3.25    

Placing Fractions on the Number Line:

Negative Fractions on the Number Line

Let take another example of negative fractions `(-7)/(2)`

Now we are not bothering about the negative sign, just placing the fraction in correct point on the number line of negative integer side. By placing fractions on the number line, as like as follow positive fraction on the number line as mentioned above.



Procedure to point the mixed numbers on the number line:

Step 1: Convert the fraction to mixed number.

`(-7)/(2)` = -3 ½

Step 2: Keep the whole number 3 as it is.

Step 3: Dive the part in between 3 to 4 as 2 and mark the point as per the number consists in numerator of the fraction

Another Method:

Step 1: Keep the whole number as it

Step 2: Convert the fraction `(1)/(2)` to decimal form.

The fraction of ½ is equal to 0.5 decimal forms.

Step 3: Placing the point 0.5 after the whole number 3 as 3.5