Question

from a 125/2 m long rope a piece of length 76/5 m is cut off. the rest of the rope is divided into 11 equal pieces. find the length of each equal piece.

Answer 1

Given:

The total length of rope = 125/2 m

The length of the piece = 76/5 m

To find:

The length of each equal piece

Solution:

After cutting the piece from rope,

$\small \texttt{Remaining length of rope } \\ = \frac{125}{2} - \frac{76}{5} \\ \\ \texttt{taking LCM} \\ \\ = \frac{125(5) - 76(2)}{2 \times5 } \\ \\ = \frac{625 - 152}{10} \\ \\ = \frac{473}{10} \: \: \texttt{or 47.3} \:$

Now it is given that the rest of the rope is divided in 11 equal pieces.

So,

$\large \implies \: \frac{ \frac{473}{10} }{ \frac{11}{1} } \\ \\ \implies \: \frac{473}{10} \times \frac{1}{11} \\ \\ \implies \: \frac{473}{110} \\ \\ \implies \: \frac{43}{10} \: \: \texttt{or 4.3}$

Hence, the length of each equal piece is 4.3 m

Answer 2

Answer:

Very very thank you for your answer