Question

How do you convert \[\dfrac{{23}}{{50}}\] to a percent?

Answer 1

Hint: Here in this question, we have to convert the given number into percentage. The given number is in the form of fraction, to convert the fraction number into percentage we multiply the given fraction number into 100. And we represent the percentage number by the symbol %.

Complete step-by-step answer:
The fraction number has two parts one is the numerator which lies above the line and the other one is the denominator which lies below the line.
Now we have to convert the fraction into percentage.
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"
To convert the fraction into percentage we multiply the fraction into 100 and then simplify.
 \[\dfrac{{23}}{{50}} \times 100\% \]
On simplifying we have
 \[ \Rightarrow \dfrac{{23}}{1} \times 2\% \]
 \[ \Rightarrow 46\% \]
Or we can also solve this first we multiply the 23 by 100 and then we divide it by 50.
So we have
 \[\dfrac{{23 \times 100\% }}{{50}}\]
On simplification we have
 \[ \Rightarrow \dfrac{{2300}}{{50}}\% \]
Let we cancel the zero both in the numerator and denominator we have
 \[ \Rightarrow \dfrac{{230}}{5}\% \]
So dividing the number 230 by 5 we have
Hence we have converted the fraction into percentage and obtained answer
So, the percentage of \[\dfrac{{23}}{{50}}\] is 46%.
So, the correct answer is “46%”.

Note: The number can be converted from one form to the other form. For the conversion of numbers, we have some rule or method. By using the specific methods and rules we can convert the number. The fraction number has a numerator and denominator. The percentage is represented by the symbol %. We can convert the fraction number to decimal also.