Arithmetic
Additive Identity
Arithmetic Progression
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
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
Cartesian System
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
Quadrilateral
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range

Videos
Solved Problems
Home >> Decimal >> Decimal to Lowest Fractional form >> Examples

Convert Decimal to Lowest Fractional form : Solved Examples

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



Convert the following decimals into fraction of lowest form.

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

Solution: Follow the steps of conversion:

  • Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 35

  • Step 2 : Find number of Decimal Place in the given decimal - Decimals Places = two (i.e. digits 3 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 = 35
    100


    Now to convert the fraction into lowest form, follow below steps:

    Find HCF of numerator and denominator of fraction

    Fraction = 35
    100


    HCF of 35 and 100 = 5

  • Step 5: Divide both numerator and denominator by HCF and we get:

    Fraction = 35 ÷ 5
    100 ÷ 5


    Solve the above division expression and we get:

    Fraction = 7
    20





    B) 0.125

    Solution: Follow the steps of conversion:

  • 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 = three (i.e. digits 1, 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 three decimal places, so we will write three zero's next to digit 1 and we get: Denominator = 1000

    Now, we know that:

    Fraction = Numerator
    Denominator


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

    Fraction = 125
    1000


    Now to convert the fraction into lowest form, follow below steps:

    Find HCF of numerator and denominator of fraction

    Fraction = 125
    1000


    HCF of 125 and 1000 =125

  • Step 5: Divide both numerator and denominator by HCF and we get:

    Fraction = 125 ÷ 125
    1000 ÷ 125


    Solve the above division expression and we get:

    Fraction = 1
    8





    C) 15.25

    Follow the steps of conversion:

  • Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 1525

  • 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 = 1525
    100


    Now to convert the fraction into lowest form, follow below steps:

    Find HCF of numerator and denominator of fraction

    Fraction = 1525
    100


    HCF of 1525 and 100 = 25

  • Step 5: Divide both numerator and denominator by HCF and we get:

    Fraction = 1525 ÷ 25
    100 ÷ 25


    Solve the above division expression and we get:

    Fraction = 61
    4





    D) 2.04

    Follow the steps of conversion:

  • Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 2.04

  • Step 2 : Find number of Decimal Place in the given decimal - Decimals Places = two (i.e. digits 0 and 4)

  • 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 = 204
    100


    Now to convert the fraction into lowest form, follow below steps:

    Find HCF of numerator and denominator of fraction

    Fraction = 204
    100


    HCF of 204 and 100 = 4

  • Step 5: Divide both numerator and denominator by HCF and we get:

    Fraction = 204 ÷ 4
    100 ÷ 4


    Solve the above division expression and we get:

    Fraction = 51
    25





    Solution: Follow the steps of conversion:

  • Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 4.72

  • Step 2 : Find number of Decimal Place in the given decimal - Decimals Places = two (i.e. digits 7 and 2)

  • 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 = 472
    100


    Now to convert the fraction into lowest form, follow below steps:

    Find HCF of numerator and denominator of fraction

    Fraction = 472
    100


    HCF of 472 and 100 = 4

  • Step 5: Divide both numerator and denominator by HCF and we get:

    Fraction = 472 ÷ 4
    100 ÷ 4


    Solve the above division expression and we get:

    Fraction = 118
    25






  • Related Question 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
  • Copyright@2022 Algebraden.com (Math, Algebra & Geometry tutorials for school and home education)