Question

How do you write $10\% $ as a fraction?

Answer 1

Hint: To write this question, we need to solve it step by step In order to calculate the fraction of any percentage number, we need to first convert the percent into its number form to get rid of the percent sign and then divide it by 100 as the per cent itself means to divide the decimal by 100 if you do not divide then simply put the ‘ % ‘ sign, by following these steps we can find the desired result of writing percent as a fraction also Convert this into its simplest form.

Complete step-by-step solution:
Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole.
We are given with the percentage $10\% $ and need to convert this into the fraction in the form of $\dfrac{p}{q}$, where q is not equal to 0.
Now, we need to just divide the percentage by 100 so that we can get rid of the percentage sign and can convert it into the form of $\dfrac{p}{q}$.
By performing this calculation we will be getting –
$10\% = \dfrac{{10}}{{100}}$
After this In order to determine the simplest form of the above fraction, write the numerator and denominator in the form of their factors and try to cancel out factors from numerator and denominator, you’ll get your required result.
So simply , we can write it in the form of its factors , we get –
$\dfrac{{10}}{{100}} = \dfrac{{10}}{{10 \times 10}}$
Now , try to cancel out factors from numerator and denominator to Convert this into its simplest form .
Cancelling out 10 as it is coming in numerator and denominator.
$\dfrac{{10}}{{100}} = \dfrac{{10}}{{10 \times 10}} = \dfrac{1}{{10}}$

Therefore , the required result in the simplified manner is $\dfrac{1}{{10}}$.

Note: Let us recall the process of the solution in 3 steps
To convert a Percent to a Fraction follow these steps:
Step 1: Write down the percent divided by 100 like this: $\text{percent}\div 100$.
Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point.
Step 3: Simplify (or reduce) the fraction.