Question

Choose the possible problem statement for the expression given below.
$5÷\frac{1}{3}$

• A. $A5m$ long ribbon is required to make some bows. The ribbon used to make one bow is $\frac{1}{3}m$. Find the number of bows made by the total length of ribbon.
  
• B. A $5m$ long ribbon is cut to make some bows. The ribbon used to make one bow is $\frac{1}{3}m$. What is the length of the ribbon needed to make five bows?
• C. A $\frac{1}{3}m$ long ribbon is required to make one bow. What will be the total length of ribbon needed to make $15$ bows?
  
• D. $\frac{1}{3}$ of a roll of ribbon is required to make $5$ bows. How much ribbon is required for one bow?

Answer 1

The correct option is A $A5m$ long ribbon is required to make some bows. The ribbon used to make one bow is $\frac{1}{3}m$. Find the number of bows made by the total length of ribbon.



There are $5$ wholes.
Each whole is divided into $3$ equal parts.
The number of $\frac{1}{3}$ in $5$ wholes $=15$
So, $5÷\frac{1}{3}=15$
Total length of the ribbon $=5m$
Ribbon used for each bow $=\frac{1}{3}m$
Number of bows $=15$
The given expression gives us the answer to the number of bows of length $\frac{1}{3}$ m that can be made from a ribbon of length $5m.$

Option A:
Length of ribbon used in one bow $=\frac{1}{3}m$
Total length of the ribbon $=5m$
Length of the ribbon needed to make five bows $=5\times \frac{1}{3}$
This does not match with the given expression.
Hence, option A is incorrect.

Option B:
Total length of the ribbon $=5m$
The ribbon required to make one bow $=\frac{1}{3}m$
Number of bows = Total length of the ribbon ÷ Ribbon required for one bow
$=5÷\frac{1}{3}$
Hence, Option B is correct.

Option C:
Number of bows $=5$
Ribbon required to make $5$ bows $=\frac{1}{3}$ of a roll
Ribbon required for one bow $=\frac{1}{3}÷5$
So, Option C does not match with the given expression.

Option D:
Length of one bow $=\frac{1}{3}m.$
Length of the ribbon needed to make $15$ bows $=15\times \frac{1}{3}$
This does not match with the value of the given expression.
So, Option D does not match with the given expression.
Hence, option D is not correct.