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 >> Fractions >> Multiplication of Fractions >> Properties of Multiplication of Fractions >> Property 3 >> Property 3 = In case of two Fractional Numbers, order of multiplication does not change the result
This Property is explained in detail with the help of following examples :-
Example 1 = Explain Property 3 with help of given fractions 2/4 and 5/8
Answer = The Proceed is as :-
Oder 1 = (2/4) × (5/8)
Now divide; multiplication of numerators by multiplication of denominators and we get;
= (2 × 5) / (4 × 8)
Solve the brackets and we get;
= 10/32
Divide both numerator and denominator by 2 and we get;
= 5/16
Oder 2 = (5/8) × (2/4)
Now divide; multiplication of numerators by multiplication of denominators and we get;
= (5 × 2) / (8 × 2)
Solve the brackets and we get;
= 10/32
Divide both numerator and denominator by 2 and we get;
= 5/16
Now, you can notice that result of Order 1 and Order 2 is same. This explains that Property 3 stands true.
Example 2 = Explain Property 3 with help of given fractions 2/4 and 5/8
Answer = The Proceed is as :-
Oder 1 = (-10/6) × (8/3)
Now divide; multiplication of numerators by multiplication of denominators and we get;
= (-10 × 8) / (6 × 3)
Solve the brackets and we get;
= -80/18
Divide both numerator and denominator by 2 and we get;
= -40/9
Oder 2 = (8/3) × (-10/6)
Now divide; multiplication of numerators by multiplication of denominators and we get;
= (8 × -10) / (3 × 6)
Solve the brackets and we get;
= -80/18
Divide both numerator and denominator by 2 and we get;
= -40/9
Now, you can notice that result of Order 1 and Order 2 is same. This explains that Property 3 stands true.
|
|