a piece of wire 12 metre long is cut into three pieces if the length of two pieces is 5⅔m and 4½
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5 2/3 = 17/3
4 1/2 = 9/2
Let the length of the third piece be x
So,
17/3 + 9/2 + x = 12
(17*2 + 9*3) / 6 + x= 12
(34 + 27)/6 + x = 12
61/6 + x = 12
x = 12 - 61/6
x = (72 - 61) / 6
x = 11/6
11/6 can be written as 1 5/6 in mixed fraction
Thus, the length of the third piece of wire is 1 5/6 m
4 1/2 = 9/2
Let the length of the third piece be x
So,
17/3 + 9/2 + x = 12
(17*2 + 9*3) / 6 + x= 12
(34 + 27)/6 + x = 12
61/6 + x = 12
x = 12 - 61/6
x = (72 - 61) / 6
x = 11/6
11/6 can be written as 1 5/6 in mixed fraction
Thus, the length of the third piece of wire is 1 5/6 m
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