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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

Property 1 Property 2 Property 3 Property 4

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.

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