Question

What percent of \[\dfrac{1}{3}\] is \[\dfrac{1}{2}\]?
A. 150
B. 200
C. 250
D. 300

Answer 1

Hint: In this problem, we have to find the percent of the given fractions . Here we have to find the percent for the given number and the total number. We know that, we can find the number by dividing the given number by the total number and multiplying it with 100. Here we have \[\dfrac{1}{3}\] as the total number and \[\dfrac{1}{2}\] as the given number, we can substitute in the formula for the final answer. We can now find it in the following steps.

Complete step by step answer:
Here we have to find the percent of \[\dfrac{1}{3}\] is \[\dfrac{1}{2}\].
Here we can see that the given number is \[\dfrac{1}{2}\] and the total number is \[\dfrac{1}{3}\].
We know that,
\[Percent=\dfrac{\text{Number}}{\text{Total number}}\times 100\]
Here we can substitute the given values and find the percentage for it,
\[\Rightarrow Percent=\dfrac{\dfrac{1}{2}}{\dfrac{1}{3}}\times 100=\dfrac{1}{2}\times 300\times 100\]
We can now find the value of Percent by simplifying the above step.
We can first divide 3 by 2 and we can multiply it with 100, we get
\[\Rightarrow Percent=1.5\times 100\]
We can now multiply 100 on the above step, we get
\[\Rightarrow Percent=150.0\%\]
Here we have moved the decimal one point to the left.
Therefore, \[\dfrac{1}{2}\] is \[150\%\] of \[\dfrac{1}{3}\].

So, the correct answer is “Option A”.

Note: Students make mistakes while finding the number from the given percentage. We should always remember that we can find the number by multiplying the given percentage and the total number and then divide by hundred, as we should remember that \[Percent=\dfrac{\text{Number}}{\text{Total number}}\times 100\], this percentage formula to find the required number we are asked for.