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Home >> Fractions >> Multiplication of Fractions >> Properties of Multiplication of Fractions >> Property 4 >> Property 4 = In case of more than two Fractional Numbers, the grouping does not change the result
Following are some example; explaining in detail this property:-
Example 1 = Explain Property 4, with the help of given fractions 2/9 and 5/7
Answer = The proceed is as :-
Group 1 = 2/9 × 5/7
Now divide; multiplication of numerators by multiplication of denominators and we get;
= (2 × 5) / (9 × 7)
solve the brackets and we get;
= 10 / 63
Group 2 = 5/7 × 2/9
Now divide; multiplication of numerators by multiplication of denominators and we get;
= (5 × 2) / (7 × 9)
solve the brackets and we get;
= 10 / 63
From Group 1 and Group 2, you can find that Property 2 stands true
Example 2 = Explain Property 4, with the help of given fractions 4/11, 5/2 and 7/10.
Answer = The proceed is as :-
Group 1 = (4/11 × 5/2) × 7/10
Now divide; multiplication of numerators by multiplication of denominators and we get;
= {(4 × 5) / (11 × 2)} × 7/10
Solve brackets and we get
= 20/22 × 7/10
Now again divide; multiplication of numerators by multiplication of denominators and we get;
= (20 × 7) / (22 × 10)
Solve brackets and we get;
= 140 / 220
Divide both numerator and denominator with 20 to convert fraction into lowest term and we get;
= 7 / 11
Group 2 = 4/11 × (5/2 × 7/10)
Now divide; multiplication of numerators by multiplication of denominators and we get;
= 4/11 × {(5 × 7) / (2 × 10)}
Solve brackets and we get
= 4/11 × 35 / 20
Now again divide; multiplication of numerators by multiplication of denominators and we get;
= (4 × 35) / (11 × 20)
Solve brackets and we get;
= 140 / 220
Divide both numerator and denominator with 20 to convert fraction into lowest term and we get;
= 7 / 11
Group 3 = (4/11 × 7/10) × 5/2
Now divide; multiplication of numerators by multiplication of denominators and we get;
= {(4 × 7) / (11 × 10)} × 5/2
Solve brackets and we get
= 28/110 × 5/2
Now again divide; multiplication of numerators by multiplication of denominators and we get;
= (28 × 5) / (110 × 2)
Solve brackets and we get;
= 140 / 220
Divide both numerator and denominator with 20 to convert fraction into lowest term and we get;
= 7 / 11
From Group 1, Group 2 and Group 3, you can find that Property 4 stands true
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