What is the length of each piece?

Question:

A cord of length $71 \frac{1}{2} \mathrm{~m}$ has been cut into 26 pieces of equal length. What is the length of each piece?

Solution:

Length of each piece of the cord $=71 \frac{1}{2} \div 26$

$=\left(71+\frac{1}{2}\right) \div 26$

$=\frac{143}{2} \div 26$

$=\frac{143}{2} \div \frac{26}{1}$

$=\frac{143}{2} \times \frac{1}{26}$

$=\frac{143 \times 1}{2 \times 26}$

$=\frac{143}{52}$

$=\frac{9}{4}$

$=2 \frac{3}{4} \mathrm{~m}$

Hence, the length of each piece of the cord is $2 \frac{3}{4}$ metres.

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