Question

The ratio 2:3 expressed as percentage is
A) $ 40\% $
B) $ 60\% $
C) $ 66\dfrac{2}{3}\% $
D) $ 33\dfrac{1}{3}\% $

Answer 1

Hint: Percentage of any value gives an idea of the concentration of the specific value with the mixture of other values. Here we are asked to find the percentage of a ratio. We will convert this ratio to fractional form and then we will multiply it with 100. The ratio a:b is the expression $ \dfrac{a}{b} $ in the fractional form, where a is called the numerator and b is called the denominator and b is never zero.
Formula used:
The percentage value of a fraction number $ \dfrac{a}{b} $ is given by $ \dfrac{a}{b} \times 100 $ .

Complete step-by-step answer:
Here we are asked to find expressed 2:3 as a percentage.
A percentage is a number or ratio expressed as a fraction of 100.
So first of all, we will convert this into fractional form then we will try to convert it into percentage one.
So, let’s convert this into fractional form first.
So, 2:3 can be written as $ \dfrac{2}{3} $ in the fractional form.
Now let’s multiply this with 100
 $ \Rightarrow \dfrac{2}{3} \times 100 = 66.66\% $
Hence the required answer is 66.66%
As this value corresponds to option ‘c’ thus we will choose option ‘c’ as the correct option.
So, the correct answer is “Option C”.

Note: Percentage is one of the widely used conversions. So we will multiply the fraction with 100 to get the percentage. The percentage value lies between 0 to 100 when the denominator term is greater than the numerator, while the percentage value exceeds 100 when the numerator is bigger than the denominator.