Question

from a rope of length 20 1/2 m ,a piece of length 3 5/8 is cut off. find the length of remaining.

Answer 1

Answer:

16.875

Step-by-step explanation:

Total length of rope = 20 ½ = 20.5 m

Length of cut piece = 3 ⅝ = 3.625 m

Length of remaining rope = 20.5m - 3.625m

=16.875m

Answer 2

Given :

• Length of the rope =20 1/2 m

• Length of the rope cut off =3 5/8

To Find :

• The length of the rope remaining =?

Formula :

$\red \bigstar \boxed{ \bf{ \: remaining \: length = total \: length\: - initial \: length}}$

Solution :

• Length of the rope =20 1/2

$\\ \implies \sf \: length \: of \: the \: rope = 20 \frac{1}{2}$

$\\ \implies \sf \: length \: of \: the \: rope = \frac{20 \times 2 + 1}{2}$

$\\ \implies \sf \: length \: of \: the \: rope = \frac{41}{2} m$

• Length of the rope cut off =3 5/8

$\\ \implies \sf length \: of \: the \: rope \: cut \: off \: = 3 \frac{5}{8}$

$\\ \implies \sf \: length \: of \: the \: rope \: cut \: off = \frac{8 \times 3 + 5}{8}$

$\\ \implies \sf \: length \: of \: the \: rope \: cut \: off \: = \frac{29}{8}$

By using Formula :

$\\ \implies \sf \: remaining \: rope = length \: of \: the \: rope - length \: of \: the \: rope \: cut \: off$

$\implies \sf \: remaining \: rope = \frac{41}{2} - \frac{29}{8}$

$\\ \implies \sf \: remaining \: rope = \frac{41 \times 4}{2 \times 4} - \frac{29}{8}$

$\\ \implies \sf \: remaining \: rope = \frac{164 - 29}{8}$

$\\ \implies \sf \: remaining \: rope = \frac{135}{29} m$

$\\ \implies \boxed{ \bf{remaining \: rope = \frac{135}{29} m}}$

The length of the remaining rope is 135/29 m.