Question

How many pieces, each of length 3 3/40m ,can be cut from a rope of length 30 m?





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Answer 1

$\large \underline{ \underline{ \text{Question:}}}$

• $\text{How many pieces, each of length }3 \frac{3}{40} \text{m ,} \\ \text{can be cut from a rope of length 30 m?} \: \: \: \:$

$\large \underline{ \underline{ \text{Solution:}}}$

$\text{Length of each piece} = 3 \frac{3}{40} \text{m} \: \: \: ...(given)$

$\longrightarrow \text{Length of each piece} = \frac{ 40 \times 3+ 3}{40} \text{m}$

$\longrightarrow \text{Length of each piece} = \frac{120+ 3}{40} \text{m}$

$\longrightarrow \text{Length of each piece} = \frac{123}{40} \text{m}$

$\text{Length of each rope} = 30 \text{m} \: \: \: ...(given)$

$\text{We can say that,}$

$\boxed{ \text{Number of pieces} = \frac{ \text{Length of rope}}{ \text{Length of each piece}}}$

$\longrightarrow\text{Number of pieces} = \frac{30 \: \cancel{\text{m}}}{ \frac{123}{40} \: \cancel {\text{m}}}$

$\longrightarrow\text{Number of pieces} =30 \div \frac{123}{40}$

$\longrightarrow\text{Number of pieces} =30 \times \frac{40}{123}$

$\longrightarrow\text{Number of pieces} = 10 \times \frac{40}{41}$

$\longrightarrow\text{Number of pieces} = \frac{400}{41}$

$\longrightarrow \boxed{\text{Number of pieces} = 9 \frac{31}{40}}$

$\large \underline{ \underline{ \text{Final Answer:}}}$

• $\boxed{\text{Number of pieces is} \: 9 \frac{31}{40}}$

Answer 2

SOLUTION:

LENGTH OF EACH PIECE

$\\ 3 \frac{3}{40} m$

LENGTH OF EACH PIECE

$\\ \\ = \frac{40 \times 3 + 3}{40} \\ \\ = \frac{123}{40} m$

No of pieces

$\\ \\ \\ \\ = \frac{length \: of \: rope}{length \: of \: each \: piece} \\ \\ \\ \\ = \frac{30 \times 40}{123} \\ \\ \\ \\ = \frac{400}{41} \\ \\ \\ \\ = 9 \frac{31}{41} \: \: \: answer \:$