
To stitch a shirt, \[2m15cm\] cloth is needed. Out of \[40m\] cloth, how many shirts can be stitched and how much cloth will be remained ?
Answer
486.9k+ views
Hint: In order to find the number of shirts that can be stitched, firstly we will be considering the total cloth we have. Then we will be dividing the total measure of cloth by the measure of cloth required to stitch each cloth. Upon dividing, the quotient we obtained would be the number of shirts that can be stitched and the remainder would be the measure of cloth left.
Complete step-by-step solution:
Now let us have a brief regarding division. Division means nothing but splitting into equal parts or groups. It is generally considered as the opposite of multiplication. It is also called repeated subtraction. The algorithm of division is \[dividend=divisor\times quotient+remainder\]. Using this algorithm, we can check if the division we have performed correctly or not. Sometimes, we can apply decimals in order to complete the division without leaving a remainder.
Now let us find the number of shirts that can be stitched and the cloth left after stitching.
We will be finding it using division.
The cloth we required to stitch the shirt is \[2m15cm=2\times 100+15=215cm\]
The total cloth we have is \[40m=40\times 100=4000cm\]
Let us perform the division now.
\[\begin{align}
& \text{215}\overline{\left){\text{4000}}\right.}\left( 18 \right. \\
& \,\,\,\,\,\,\,\,\text{ -3870} \\
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\overline{130} \\
\end{align}\]
As we know that the quotient would be the number of shirts that can be stitched and the remainder would be the cloth left.
So the number of shirts that can be stitched \[=18\]
The cloth on the left is \[\text{130cm}\].
Note: We must always have a note that it would make our calculations easier if we convert all the given measures into the same units of measurement. A simple remainder would be that whenever we want to find a smaller value from the given larger value, we are supposed to perform division.
Complete step-by-step solution:
Now let us have a brief regarding division. Division means nothing but splitting into equal parts or groups. It is generally considered as the opposite of multiplication. It is also called repeated subtraction. The algorithm of division is \[dividend=divisor\times quotient+remainder\]. Using this algorithm, we can check if the division we have performed correctly or not. Sometimes, we can apply decimals in order to complete the division without leaving a remainder.
Now let us find the number of shirts that can be stitched and the cloth left after stitching.
We will be finding it using division.
The cloth we required to stitch the shirt is \[2m15cm=2\times 100+15=215cm\]
The total cloth we have is \[40m=40\times 100=4000cm\]
Let us perform the division now.
\[\begin{align}
& \text{215}\overline{\left){\text{4000}}\right.}\left( 18 \right. \\
& \,\,\,\,\,\,\,\,\text{ -3870} \\
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\overline{130} \\
\end{align}\]
As we know that the quotient would be the number of shirts that can be stitched and the remainder would be the cloth left.
So the number of shirts that can be stitched \[=18\]
The cloth on the left is \[\text{130cm}\].
Note: We must always have a note that it would make our calculations easier if we convert all the given measures into the same units of measurement. A simple remainder would be that whenever we want to find a smaller value from the given larger value, we are supposed to perform division.
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