Use the fractions 2/3, 1/3, 1/6, 5/6, 1/2 and the whole number 1 to fill in the spaces below so that each side of the triangle will have the same sum. Use each number exactly once.
Answers
Answer:
You must have left out a fraction. What you have given adds up to a total of 3 1/2, not 4.
2/3 + 1/3 = 1
1/6 + 5/6 = 1
1 = 1
1/2
With these fractions, it is impossible to solve the problem.
Step-by-step explanation:
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Given : fractions 2/3, 1/3, 1/6, 5/6, 1/2 and the whole number 1
Use each number exactly once.
To Find : fill in the spaces so that each side of the triangle will have the same sum.
Solution:
A
B C
D E F
A + B + D = A + C + F = D + E + F = k
from these
B + D = C + F
A + C = D + E
A + B = E + F
2/3 1/3 1/6 5/6 1/2 1
4/6 2/6 1/6 5/6 3/6 6/6
To Simplify Lets take A , B , C , D , E and F as
1 to 6
A + B = E + F
A = 1 , B = 6 , E = 2 and F = 5
A + C = D + E
=> 1 + C = D + 2
=> C = D + 1
D = 3 C = 4
1
6 4
3 2 5
Sum of each side = 10
1/6
1 4/6
3/6 2/6 5/6
on Simplifying
1/6
1 2/2
1/2 1/3 5/6
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