Question

a cord of length 71 1/2 has been cut into 26 pieces of equal length. what is the length of each piece​

Answer 1

Given :

A cord of length 71 (1/2) has been cut into 26 pieces of equal length.

To find :

What's the length of each equal piece?

Solution :

As here, 26 pieces will be equal so total length of cord will be divided into equal 26 pieces.

Length of cord = 71 (1/2) unit.

= (142 + 1)/2 unit.

= 143/2 unit.

Now finding length of each equal piece :

Length of each piece = (Total length)/Number of pieces.

⇒ Length of each piece = (143/2)/26

⇒ Length of each piece = 143/52

⇒ Length of each piece = 2.75 units.

Therefore,

Length of each equal piece = 2.75 units.

Answer 2

Given:-

$\displaystyle{\text{A cord of length }71\frac{1}{2}\text{ m has been cut out into 26 pieces of equal length.}}$

To find:-

$\displaystyle{\text{The length of each piece.}}$

Solution:-

$\text{Length of the cord =}\frac{143}{2} \ \text{m}\\\\\text{Length of each piece =}\frac{143}{2}/{26}\ \text{m}\\\\\text{Length of each piece=}\frac{143}{2*26} \text{m}\\\\\text{Length of each piece=}\boxed{\frac{11}{4} \ \text{m}=2\frac{3}{4} \ \text{m}=2.75\ \text{m}}$