Question

Which among the below has the greatest value?
A) $\dfrac{{50}}{3}\% $
B) $\dfrac{2}{{15}}$
C) $0.17$
D) $6\% $

Answer 1

Hint: In the given question, we are given four numbers and we need to find which of them has the greatest. So, here we have to compare the values. To compare the values, we will convert all the numbers in one form. We will convert the percent value into decimal and the fraction value into decimal. After this, we will observe the values and find which of them has the greatest value.

Complete step by step answer:
Let’s analyze the given options.
A) $\dfrac{{50}}{3}\% $
Here, we will convert percent into decimal value. To do this, we will simply divide the given percentage by $100$ after dropping the $\% $ symbol.
$ \Rightarrow \dfrac{{50}}{3}\% = \dfrac{{50}}{3} \times \dfrac{1}{{100}}$
Now we will reduce the fraction so obtained.
$ \Rightarrow \dfrac{{50}}{3}\% = \dfrac{5}{{30}}$
On division, we get
$ \Rightarrow \dfrac{{50}}{3}\% = 0.166$

B) $\dfrac{2}{{15}}$
Here, we will convert the fraction into a decimal value. To convert a fraction to a decimal, divide the numerator by the denominator.
$ \Rightarrow \dfrac{2}{{15}} = 0.133$

C) $0.17$
It will remain as it is because we are converting values into decimal values and it is already a decimal number.

D) $6\% $
Here, we will convert percent into decimal value. To do this, we will simply divide the given percentage by $100$ after dropping the $\% $ symbol.
$ \Rightarrow 6\% = 6 \times \dfrac{1}{{100}}$
$ \Rightarrow 6\% = \dfrac{3}{{50}}$
On division, we get
$ \Rightarrow 6\% = 0.06$
Hence, the greatest value is $0.17$. Therefore, option (C) is correct.

Note:
In order to solve this type of question, one must know how to convert one value into another. As here, we converted percent into decimal by dividing the given percentage by $100$ after dropping the $\% $ symbol and we also converted fraction into decimal value. To convert a fraction to a decimal we divided the numerator by the denominator. Similarly we can convert decimal to percent by just multiplying the decimal number by $100\% $. We can also convert decimal value into fraction value by multiplying both top and bottom by $10$ for every number after the decimal point and after that reducing the fraction.