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

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

40 Views

Kickstart Your Career

Get certified by completing the course

Get Started