Question

How do you convert 4.25 % into a percent and fraction?

Answer 1

Hint: In the above question the only information we know is the percentage number which is given in decimal form i.e.,4.25\[\% \] and we need to convert it or represent it in fraction format. For this, we need to use the method of dividing the number by 100.

Complete step by step answer:
The percentage is expressed as a ratio with a fraction of 100. It is denoted with \[\% \]sign written after the number. It is often used to express a proportionate part of 100.
The above decimal can be represented in two forms one is by writing it in percentage and further reducing it into fractions.
Given,
4.25%
The first step is to represent it in the form of a fraction, it can be written as \[\dfrac{{4.25}}{1}\].
On multiplying the term with 100 both on the numerator and denominator we get,
 \[ \Rightarrow \dfrac{{4.25}}{1} \times \dfrac{{100}}{{100}} = \dfrac{{425}}{{100}}\]
Since 425 is written with a total fraction of 100.Therefore, percentage is \[425\% \]
Now, further, we want to write in the form of a fraction, so we need to reduce the above percentage in the form of a fraction.
To simplify it we need to find the LCM of 425 and 100 which is 25.
So, we can divide 25 in numerator and denominator
\[ \Rightarrow \dfrac{{\left( {\dfrac{{425}}{{25}}} \right)}}{{\left( {\dfrac{{100}}{{25}}} \right)}} = \dfrac{{17}}{4}\]
Therefore, the fraction we get is \[\dfrac{{17}}{4}\].

Note:
 An important thing to know is that if we want to cross check whether the fraction is same as percentage then there is formula \[\dfrac{a}{b} \times 100\% \] where a=425 and b=100.Theregfore by substituting the value we get \[\dfrac{{425}}{{100}} \times \dfrac{{100}}{{100}} = \dfrac{{425}}{{100}}\].Therefore, it is called 4.25.