Question

Convert the following into a fraction: \[6.25\% \]

Answer 1

Hint: Here we will remove the percentage sign first. Then we will convert the decimal number into fractions. We will then divide the numerator and denominator with a common number so that we get a fraction in simplified form and hence the required fraction.

Complete step by step solution:

We have to change \[6.25\% \] into a fraction.

So, we will divide \[6.25\% \] by 100 and remove the % sign. Therefore, we get

\[6.25\%  = \dfrac{{6.25}}{{100}}\]

Again converting the decimal into fraction, we get

\[ \Rightarrow 6.25\%  = \dfrac{{625}}{{10000}}\]

On dividing numerator and denominator by 25 we get,

\[ \Rightarrow 6.25\%  = \dfrac{{25}}{{400}}\]

Again, if we divide the numerator and denominator of above value by 25, we get

\[ \Rightarrow 6.25\%  = \dfrac{1}{16}\]

Now as we can see that the above value can’t be simplify further so we will get our fraction as,

So \[6.25\% \] is written as \[\dfrac{1}{16}\] in fraction.

Note:

1) Fraction represents the same (equal) parts of a collection or a whole thing.

2) A fraction has two parts first a numerator which tells the number of equal parts taken from a whole and second the denominator which tells the total number of equal parts of a whole.

3) Fractions having numerator 1 are known as unit fractions.

4) A fraction having a numerator less than the denominator is known as proper fractions.

5) Ratio percentage and decimal are all related as a percentage is a ratio and a ratio can be written as a fraction. For converting a percentage to a fraction remove the % sign and divide the decimal with 100 and simplify further if needed.

6) One mistake that can happen is what if the numerator is completely divided by the denominator in such case. Leave it to the simplest form where we have both numerator as well as denominator value.