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A rope of length $ 13 \frac{1}{2} m $ is cut into 18 pieces of equal lengths. What is the length of each piece?
Express the answer as a fraction in its simplest form.
Given: A rope of length \( 13 \frac{1}{2} m \) is cut into 18 pieces of equal lengths
To find: Length of each piece
Solution:
Let us convert \( 13 \frac{1}{2} m \) into improper fraction
\( 13 \frac{1}{2} m \) = \( 13 + \frac{1}{2} m \)
$=\frac{27}{2}$
Total length $=\frac{27}{2}$
Length of each piece = $\frac{27}{2} \div 18$
$=\frac{27}{2 \times 18}$
$=\frac{27}{36}$
$=\frac{3}{4}$ m
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