Arithmetic
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Algebraic Equation
Algebraic Expression
Cartesian System
Linear Equations
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range
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 = NumeratorDenominator

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)
 125100

HCF of 125 and 100 = 25

Step 5: Divide both numerator and denominator by HCF and we get:
 Fraction = 125 ÷ 25100 ÷ 25

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

 Hence, decimal 1.25 when converted into Lowest Fractional Form we get 54