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The root to this fraction ratio is 4:5.
By trial and error and knowing the factors to each multiples, work with the multiplication:
4*4 = 16 : 5*4 = 20
4*9 = 36 : 5*9 = 45
Alternatively, use algebraic expressions to manipulate the homogeneous equation:
Let the unknown be X;
16/X = 36/45
Multiple both sides by X and 45,
16*X*45/X = 36*X*45/45
Cancel out common numerator and dominator.
16*45 = 80 + 240 + 400 = 720 = 36X
720/36 = X
20 = X
Hence, 16:20 is equal to 36:45 (sure way of getting the concept)
im Curious if a primary 5 have learned to express unknowns in the form of algebraic expressions or do they still perform methods of trial and error as I have use in method one to solve it. Been 10 years since my syllabus.
By trial and error and knowing the factors to each multiples, work with the multiplication:
4*4 = 16 : 5*4 = 20
4*9 = 36 : 5*9 = 45
Alternatively, use algebraic expressions to manipulate the homogeneous equation:
Let the unknown be X;
16/X = 36/45
Multiple both sides by X and 45,
16*X*45/X = 36*X*45/45
Cancel out common numerator and dominator.
16*45 = 80 + 240 + 400 = 720 = 36X
720/36 = X
20 = X
Hence, 16:20 is equal to 36:45 (sure way of getting the concept)
im Curious if a primary 5 have learned to express unknowns in the form of algebraic expressions or do they still perform methods of trial and error as I have use in method one to solve it. Been 10 years since my syllabus.
Can simplify?
Added it below Ac Lim's workings who showed you the quickie :)
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Hope this helps
Date Posted:
4 years ago
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Pardon the scrap paper. Hope you understand. Else, let me know.
Date Posted:
4 years ago