Topics
Number System
Number System (Including Estimation and Approximation)
Theme 1 : Numbers
Number System(Consolidating the Sense of Numberness)
Estimation
Ratio and Proportion
Numbers in Indian and International Systems (With Comparison)
Theme 2 : Ratio, Proportion and Arithmetic Problems
Natural Numbers and Whole Numbers (Including Number Line and Patterns)
Theme 3 : Algebra
Algebra
Numbers in India and International System (With Comparison)
Place Value
Geometry
Negative Numbers and Integers
Theme 4 : Geometry
Natural Numbers and Whole Numbers (Including Patterns)
Mensuration
Sets
Theme 5 : Mensuration
Data Handling
Fractions
Theme 6 : Statistics
Negative Numbers and Integers
Number Line
Decimal Fractions
Playing with Numbers (Including H.C.F. and L.C.M.)
HCF and LCM
Ratio and Proportion (Including Unitary Method)
Playing with Numbers
- Simplification of Brackets
- Finding Factors Using Rectangular Arrangements and Division
- Factors and Common Factors
- Multiples and Common Multiples
- Concept of Even and Odd Number
- Tests for Divisibility of Numbers
- Divisibility by 2
- Divisibility by 4
- Divisibility by 8
- Divisibility by 3
- Divisibility by 6
- Divisibility by 9
- Divisibility by 5
- Divisibility by 11
Percent (Percentage)
Sets
Ratio
Idea of Speed, Distance and Time
Fundamental Concepts (With operations on Algebraic Expressions)
Proportion (Including Word Problems)
Unitary Method
Framing Algebraic Expressions (Including Substitution and Linear Equations)
Fractions
- Concept of Fraction
- Types of Fractions
- Concept of Proper and Improper Fractions
- Concept of Mixed Fractions
- Like and Unlike Fraction
- Concept of Equivalent Fractions
- Conversion between Improper and Mixed fraction
- Conversion between Unlike and Like Fractions
- Simplest Form of a Fractions
- Comparing Fractions
- Addition of Fraction
- Subtraction of Fraction
- Multiplication of Fraction
- Division of Fractions
- Using Operator 'Of' with Multiplication and Division
- BODMAS Rule
- Problems Based on Fraction
Fundamental Concepts (Including Angles and their Properties)
Decimal Fractions
Triangles (Including Types and Properties of Triangles)
Quadrilaterals
Percent (Percentage)
Circles
Idea of Speed, Distance and Time
Fundamental Concepts
Constructions
Symmetry
Fundamental Operations (Related to Algebraic Expressions)
Recognition of Solids
Substitution (Including Use of Brackets as Grouping Symbols)
Perimeter and Area of Plane Figures
Framing Algebraic Expressions (Including Evaluation)
Data Handling (Including Mean and Median)
Simple (Linear) Equations (Including Word Problems)
Fundamental Concepts
Angles (With Their Types)
Properties of Angles and Lines (Including Parallel Lines)
Triangles (Including Types, Properties and Constructions)
Quadrilateral
Polygons
The Circle
Symmetry (Including Constructions on Symmetry)
Recognition of Solids
Perimeter and Area of Plane Figures
Data Handling (Including Pictograph and Bar Graph)
Mean and Median
- Introduction
- Steps to Convert Unlike Fractions into Like Fractions
- Examples
- Key Points Summary
Introduction
Have you ever shared a cake or pizza with friends and got different-sized pieces? It's tricky to know who got more unless all pieces are sliced the same way. That’s why, in maths, we change fractions with different bottom numbers (denominators) into the same “kind of pieces”—called like fractions.
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Like fractions: Fractions with the same denominator, such as `2/7` and `5/7`.
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Unlike fractions: Fractions with different denominators, such as `1/4` and `2/5`.
Steps to Convert Unlike Fractions into Like Fractions
Examples
Convert `5/6` and `7/9` into like fractions.
Step 1: Find the LCM of the Denominators (6 and 9)
- Multiples of 6: 6, 12, 18, 24, 30, 36, …
- Multiples of 9: 9, 18, 27, 36, 45, …
- The Least Common Multiple (LCM) of 6 and 9 is 18.
Step 2: Convert Each Fraction to an Equivalent Fraction with Denominator 18
- For `5/6`
- Multiply the numerator and denominator by 3:
= `"5 × 3"/"6 × 3"` = `15/18` - For `7/9`
- Multiply the numerator and denominator by 2:
= `"7 × 2"/"9 × 2"` = `14/18`
Step 3: Write the Like Fractions
- `15/18` and `14/18` are like fractions, respectively equivalent to `5/6` and `7/9`.
Note: 18 is a multiple of both 6 and 9. We could also choose numbers like 36 and 54 as the common denominators.
Key Points Summary
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Like fractions have the same denominator—this makes comparing, adding, or subtracting easy.
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Use the LCM for the denominator to find the smallest common denominator.
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Multiplying the top and bottom by the same number keeps the fraction’s value unchanged.
