Question

How many pieces of each 5 ½ meters long can be cut from a rope of 77 ½ meters long

Answer 1

       $\underline{\bold{Answer:}}$

       $14$

       $\underline{\bold{Step-by-step-explaination:}}$

       $\text{Let the number of pieces that can be cut be }n$

$\implies \boxed{5\frac{1}{2} *n = 77\frac{1}{2} }$

       $\text{Converting the mixed fractions into improper fractions}$

$\implies \boxed{\frac{11}{2}*n = \frac{155}{2} }$

$\implies \boxed{n = \frac{\frac{155}{2}}{\frac{11}{2} } }$

$\implies \boxed{n = \frac{155}{11} }$

$\implies \boxed{n = 14\frac{1}{2}}$

       $\text{The number of pieces must be a whole number}$

   $\therefore \text{ 14 pieces can be cut}$