A piece of string was cut into 12 equal pieces. The length of 5 such pieces is 15/8 m. Find the length of the original piece of string.
A) 4.8 m
B) 4.5 m
C) 0.375 m
D) 4.5 m
please with explanation
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The length of the original piece of String is 4.5m
Explanation:
Given:
1. A piece of string was cut into 12 equal pieces
2. The length of 5 such pieces is 15/8 m
To find:
The length of the original piece of string
From the given value,
==> The length of 5 such pieces is 15/8 m
==> 5 pieces = 15/8
==> Find tha value of 1 piece
==> Divide by 5 on both sides
==> 5/5 = (15/8)/5
==> 1 piece = 3/8 m
A piece of string was cut into 12 equal pieces
==> 1 piece = 3/8 Length
==> To find 12 piece,
==> Multiply by 12 on both sides
==> 12 piece = 3/8×12
==> 12 piece = 3(12)/8
==> 12 piece = 3(3)/2
==> 12 piece = 9/2 m
==> 12 piece = 4.5m
B) 4.5 cm
The length of the original piece of String is 4.5m
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