Question

Math expression	Problem statement
1. $\frac{1}{8}÷12$	Twelve friends shared $\frac{1}{8}$ kilograms of nuts. What is the amount of nuts each friend got?
2. $5÷\frac{1}{3}$	The area of a rectangle is $5$ square feet when the width is $\frac{1}{3}$ ft. What is the length of the rectangle?

Conclusion I: Math expression 1 matches problem statement $2.$
Conclusion II: Math expression 2 matches problem statement $1.$

• A. Both conclusions $1$ and $2$ are correct.
  
• B. Only conclusion $2$ is correct.
  
• C. Both conclusions $1$ and $2$ are incorrect.
  
• D. Only conclusion $1$ is correct.
  

Answer 1

The correct option is C Both conclusions $1$ and $2$ are incorrect.


Twelve friends shared $\frac{1}{8}$ kilograms of nuts. What is the amount of nuts each friend got?
Amount of nuts $=\frac{1}{8}\text{kg}$
Number of friends $=12$
The amount of nuts each friend gets $=\frac{1}{8}÷12$

The area of a rectangle is $5$sq ft if the width is $\frac{1}{3}$ ft. What is the length?
Area of the rectangle $=5\text{sq ft}$
Width $=\frac{1}{3}\text{ft}$
Length $=5÷\frac{1}{3}$ (As length $\times$ width = area)

So, both conclusions are incorrect.
Hence, option C is correct.