Question

Which of the following problem statements cannot be solved using the expression given below?
$\frac{1}{7}÷9$

• A. The area of a sheet of paper is $\frac{1}{7}\text{sq}$ in. What is the total area of $9$ similar sheets?
  
• B. $\frac{1}{7}L$ milkshake is divided equally in $9$ glasses. How much milkshake is in each glass?
  
• C. $\frac{1}{7}$ part of the freezer is occupied with $4$ glasses of milkshake and $5$ glasses of smoothies. How much space is occupied by each glass?
  
• D.
  $\frac{1}{7}$ of a ribbon is required to make $9$ bows. How much ribbon is required for one bow?
  

Answer 1

The correct option is A The area of a sheet of paper is $\frac{1}{7}\text{sq}$ in. What is the total area of $9$ similar sheets?


Option A:
$\frac{1}{7}L$ milkshake is divided equally in $9$ glasses. How much milkshake is in each glass?
Number of glasses $=9$
Amount of milkshake divided equally in $9$ glasses $=\frac{1}{7}L$
Amount of milkshake in each glass = Amount of milkshake divided equally in $9$ glasses $÷$ Number of glasses
$=\frac{1}{7}÷9$
So, the expression is $\frac{1}{7}÷9$, which matches the given expression.

Option B:
$\frac{1}{7}$ part of the freezer is occupied by $4$ glasses of milkshake and $5$ glasses of smoothies. How much space is occupied by each glass?
Total number of glasses $=4$ glasses of milkshake $+5$ glasses of smoothies $=9$ glasses
The part of the freezer is occupied with $=\frac{1}{7}$
Space of the freezer occupied by each glass $=\frac{1}{7}÷9$
So, the expression is $\frac{1}{7}÷9$, which matches the given expression.

Option C:
$\frac{1}{7}$ of a roll ribbon is required to make $9$ bows. How much ribbon is required for one bow?
Number of bows $=9m$
The length of ribbon is required for $9$ bows $=\frac{1}{7}$ of the roll
The ribbon required for one bow = The ribbon required for $9$ bows $÷$ Number of bows
$=\frac{1}{7}$ of a roll $÷9$
So, the expression is $\frac{1}{7}÷9$, which matches the given expression.

Option D:
The area of a sheet of paper is $\frac{1}{7}\text{sq}$ in. Find the area of $9$ similar sheets.
Area of a sheet of paper $=\frac{1}{7}\text{sq}$ in
Number of sheets $=9$
Total area of $9$ sheets = Area of one sheet $\times$ Number of sheets
$=\frac{1}{7}\times 9\text{sq}$ in
So, the expression is $\frac{1}{7}\times 9$, which does not match the given expression.
Hence, Option D is correct.