Question

What is 6 of 20?

Answer 1

Hint: From the question we have been asked to find the 6 of 20. For solving these kinds of percentage questions, we will first divide the 6 by 20 and then we will convert that fraction into percentage. We will use multiplication operations in mathematics and multiply the number $10$ to its numerator and denominator.

Complete step-by-step answer:
Firstly, as we mentioned earlier, we will divide the 6 by 20
By dividing we will get,
$={\displaystyle \frac{6}{20}}$
By further simplification, we will get,
$={\displaystyle \frac{3}{10}}$
Now, we will convert this fraction into percentage.
For any number let it be as $$y$$. We can write the percentage of it which is $$y\mathrm{\%}$$ into a numerical part as follows.
$$=y\mathrm{\%}=y\times {\displaystyle \frac{1}{100}}$$
So, we will do the same to our fraction.
Now for finding the percentage of that fractional number, we should use the multiplication operation in mathematics and multiply 10 to its numerator and denominator.
By multiplying 10 to the numerator and denominator, we will get,
$={\displaystyle \frac{3}{10}}\times {\displaystyle \frac{10}{10}}$
We will simplify the expression further by using the multiplication operation in mathematics.
So, we get expressions reduced as follows.
$={\displaystyle \frac{30}{100}}$
Now, this can be written as
$=30\times {\displaystyle \frac{1}{100}}$
Now, ${\displaystyle \frac{1}{100}}$ can be written as %,
$=30\mathrm{\%}$
Therefore, the 6 of 20 is $=30\mathrm{\%}$

Note: Students must be very careful in doing the calculations. Students must have good knowledge in calculating the percentages and also should have knowledge in multiplication operation. If students did ${\displaystyle \frac{20}{6}}$instead of ${\displaystyle \frac{6}{20}}$then our whole solution will be wrong.