How many equal pieces, each of length 3.6 cm can be cut from a rope of length 61.2 cm?

Given:

Total length of rope = 61.2 cm

Length of each piece = 3.6 cm

Number of pieces = ?

Number of pieces = (Total length) ÷ (Length of each piece)

Substituting the values:

Number of pieces = 61.2 cm ÷ 3.6 cm

$= \dfrac{61.2 \times 10}{3.6 \times 10} = \dfrac{612}{36}$

On dividing 612 by 36, we get:

$\begin{array}{r} 17 \ 36 \overline{\smash{)} 612 } \ \underline{36} \phantom{0} \ 252 \ \underline{252} \ 0 \end{array}$

61.2 ÷ 3.6 = 17

Hence, 17 equal pieces can be cut from the rope.