Convert Decimal to Lowest Fractional form at Algebra Den

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Home >> Decimal >> Decimal to Lowest Fractional form >>

Convert Decimal to Lowest Fractional form

Decimal Point Place Value of digits in decimals Expanded Form of Decimal Read Decimals Decimal Places
Decimal to Fraction Decimal to Mixed Fraction Decimal to Lowest Fractional form Decimal into Percentage Like Decimals
Unlike Decimals Difference Like & Unlike Decimals Comparing or Ordering Decimals Ascending Order of Decimals Descending Order of Decimals
Multiplication of Decimals Division of Decimals

Before you understand; How to convert Decimal to Lowest Fractional Form, You must know:

What are Decimal Places ?
What is Decimal Point ?
What are Fractions ?
How to Calculate H.C.F. ?

Steps to convert Decimal to Lowest Fractional Form

Step 1: Numerator of fraction is equal to decimal (without the decimal point)
Step 2: Find number of Decimal Places in the given decimal
Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal places.

After Step 3, we will get a fraction, which will be further converted into lowest form, through following step:
Step 4: Find HCF of numerator and denominator of fraction
Step 5: Divide both numerator and denominator by HCF and we get fraction in lowest form

Example : Convert 1.25 into fraction of lowest form.

Solution: Follow the steps as explained above:

Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 125

Step 2 : Find number of Decimal Place in the given decimal
Decimals Places = two (i.e. digits 2 and 5)

Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal place.
As calculated in step 2, there are two decimal places, so we will write two zero's next to digit 1 and we get:
Denominator = 100
Now, we know that: Fraction = Numerator
Denominator

Put the values of numerator and denominator from step 1 & Step 3 and we get:
Fraction = 125
100

Now to convert this fraction into lowest form, follow the below steps
Step 4: Find HCF of numerator and denominator of fraction (calculated above)
125
100

HCF of 125 and 100 = 25

Step 5: Divide both numerator and denominator by HCF and we get:
Fraction = 125 ÷ 25
100 ÷ 25

Solve the above division expression and we get:
Fraction = 5
4

Hence, decimal 1.25 when converted into Lowest Fractional Form we get 5
4

Study More Solved Questions / Examples

Convert the following decimals into fraction of lowest form.

A) 0.35
B) 0.125
C) 15.25
D) 2.04
E) 4.72