Question

The percentage equivalent to \[\dfrac{3}{8}\] is
1) \[37.5\% \]
2) \[0.375\% \]
3) \[40\% \]
4) \[3.75\% \]

Answer 1

Hint: The percentage is equivalent to \[100\% \]. Whenever we need to evaluate the percentage of any number, we simply multiply the number with \[100\% \] to convert that number into a percentage. In this question also we will use the same method we will simply multiply the number \[\dfrac{3}{8}\] with \[100\% \] to find the value in percentage.

Complete step-by-step answer:
Consider the given number that is \[\dfrac{3}{8}\].
Now, we need to find the number which is equivalent to the percentage of \[\dfrac{3}{8}\].
Here, we know that to convert any number in percentage we need to multiply the number with \[100\% \],
Thus, we will multiply \[\dfrac{3}{8}\] with \[100\% \] to convert the number in percentage.
Hence, we get,
\[ \Rightarrow \dfrac{3}{8} \times 100\% = \dfrac{3}{2} \times 25\% \]
Simplify the numerator by multiplying and then divide with the value in the denominator.
We get,
\[ \Rightarrow \dfrac{{75}}{2}\% = 37.5\% \]
Thus, the percentage of \[\dfrac{3}{8}\] is equivalent to \[37.5\% \]
Hence, option A is correct.

Note: A percentage is a number that represents a fraction of 100. The symbol for denoting the percentage is %. For example, 35% is equivalent to \[\dfrac{{35}}{{100}} = 0.35\% \]. In this question also we have multiplied the value \[\dfrac{3}{8}\] with \[100\% \] to convert the number \[\dfrac{3}{8}\] into percentage.