Addition and Subtraction of Like Fractions



Here we will learn about addition and subtraction of like fractions.



Addition of Like Fractions:

In order to add two or more like fractions, we may follow the following steps:



Step I:

Obtain the fractions.



Step II:

Add the numerators of all fractions.



Step III:

Retain the common denominator of all fractions.



Step IV:

Write the fraction as Result in Step II / Result in Step III.



For Example:



Add the following fractions.

1. 1/6 + 4/6

Solution:

We have,

1/6 + 4/6

= (1+4)/6

= 5/6




2. 2/7 + 3/7 + 4/7

Solution:

We have,

2/7 + 3/7 + 4/7

= (2+3+4)/7

= 9/7




3. 23/5 + 4/5 + 12/5

Solution:

We have,

23/5 + 4/5 + 12/5

= (2 × 5 + 3)/5 + 4/5 + (1 × 5 + 2)/5

= (10 + 3)/5 + 4/5 + (5 + 2)/5

= 13/5 + 4/5 + 7/5

= (13 + 4 + 7)/5

= 24/5




4. 11/4 + 23/4 + 71/4

Solution:

We have,

11/4 + 23/4 + 71/4

= (1 × 4 + 1)/4 + (2 × 4 + 3)/4 + (7 × 4 + 1)/4

= (4 + 1)/4 + (8 + 3)/4 + (28 + 1)/4

= 5/4 + 11/4 + 29/4

= (5 + 11 + 29)/4

= 45/4




Subtraction of Like Fractions:



In order to subtract two like fractions, we may follow the following steps:



Step I:

Obtain the two fractions and their numerators.



Step II:

Subtract the smaller numerator from the bigger numerator.



Step III:

Retain the common denominator.



Step IV:

Write the fraction as Result in Step II / Result in Step III.



For Example:

1. Subtract 3/10 from 8/10

Solution:

We have to find,

8/103/10

= (8 – 3)/10

= 5/10

= (5 ÷ 5)/(10 ÷ 5) [Dividing the numerator and denominator by their HCF (highest common factor) 5].

= 1/2




2. Compute: 5/127/12 + 11/12

Solution:

We have,

5/127/12 + 11/12

= (5-7+11)/12

= (11-2)/12

= 9/12

= (9 ÷ 3)/(12 ÷ 3) [Dividing the numerator and denominator by their HCF (highest common factor) 3].

= 3/4




3. Simplify: 42/3 + 1/3 – 41/3

Solution:

We have,

42/3 + 1/3 – 41/3

= (4 × 3 + 2)/3 + 1/3 - (4 × 3 + 1)/3

= (12+2)/3 + 1/3(12+1)/3

= 14/3 + 1/3 - 13/3

= (14 + 1 – 13)/3

= (15 – 13)/3

= 2/3


Related Links:



Fraction.
  • Representations of Fractions on a Number Line.
  • Fraction as Division.
  • Types of Fractions.
  • Conversion of Mixed Fractions into Improper Fractions.
  • Conversion of Improper Fractions into Mixed Fractions.
  • Equivalent Fractions.
  • Interesting Fact about Equivalent Fractions.
  • Fractions in Lowest Terms.
  • Like and Unlike Fractions.
  • Comparing Like Fractions.
  • Comparing Unlike Fractions.
  • Addition and Subtraction of Like Fractions.
  • Addition and Subtraction of Unlike Fractions.
  • Inserting a Fraction between Two Given Fractions.




  • Numbers Page

    6th Grade Page

    From Addition and Subtraction of Like Fractions to HOME PAGE



    Follow Our Links:

    Online Math Quiz
    Coloring Pages
    Math Puzzles
    Math Homework Sheets
    Numbers Showing on Spike Abacus
    Color by Number Worksheets
    Number Rhymes
    Multiplication Times Table Chart
    Blank Multiplication Table
    Multiplication Table Worksheets
    Addition Facts
    The Story about Seasons.
    Worksheet on Joining Numbers
    Missing Number Worksheets
    Learn About Counting
    Geometric Shapes
    Geometric Objects
    Odd Man Out
    Color Flash Cards
    Worksheet on Time
    Magic Square
    Types of Quadrilaterals
    The properties of Natural Numbers
    Successor and Predecessor
    Properties of Division
    Types of Fractions
    Fraction as Division
    Interesting fact about Equivalent Fractions
    Comparing Like Fractions
    Comparing Unlike Fractions
    Addition and Subtraction of Like Fractions
    Addition and Subtraction of Unlike Fractions
    Inserting a Fraction between Two Given Fractions
    Overhead Charges
    Examples on Profit and Loss
    Literal Numbers
    Multiplication of Literals
    Constants and Variables
    Terms
    High School Math Puzzles
    Number Puzzles and Games
    Patterns in Math
    Questions on Patterns
    Convert Exponentials and Logarithms
    Solved Problems on Logarithm
    Simple Closed Curves
    Set Theory
    Venn Diagrams in Different Situations
    Cardinal Properties of Sets
    Operations on Sets
    Table of Cube Roots
    What is Rational Numbers?
    Playing with Numbers
    Test of Divisibility
    Number Puzzles and Games
    Laws of Exponents
    Properties of Perfect Squares
    Table of Square Roots
    Algebraic Expression
    Formula and Framing the Formula
    Factorization by Grouping
    Factorization of Quadratic Trinomials
    Units for Measuring Length
    24 Hour Clock
    Pictographs
    Interpreting a Pictograph
    Various Types of Numbers
    Operations On Whole Numbers
    What are Integers?
    Multiplication is Repeated Addition
    Simplification of Fractions
    Decimal
    Simplification in Decimals
    Word Problems on Decimals
    Rounding Numbers