Question

How do you convert $3/25{\text{ }}$ to a decimal?

Answer 1

Hint:
In the given question, we have converted the fraction number into decimal. We know that a number in fraction form has a numerator and denominator. So firstly find a number you can multiply by the bottom of the fraction like it \[10,{\text{ }}or{\text{ }}100,{\text{ }}or{\text{ }}1000{\text{ }} \ldots \ldots \ldots \ldots \ldots .\] Multiply both top and bottom by that number. Then we write down just the top number putting the decimal point in the correct spot (one space from the right and side for every zero in the bottom number.)

Complete step by step solution:
Step1:
We have to convert $\dfrac{3}{{25}}$ into decimal i.e. the given fraction is $\dfrac{3}{{25}}$. Here is the numerator and $3$ is denominator. We find that number if we multiply by $25$, then we will get $100$ or $1000$ or any $1$ followed by $0's$.
So if it is multiplied by $4$ we get $100$.

Step2:
Therefore both numerator and denominator multiply by $4$ with $3$ and $25$.
So, we can written as
$\dfrac{3}{{25}} = \dfrac{{3 \times 4}}{{25 \times 4}}$
If $3$ multiply by $4$ we get $12$ and $25$ multiply by $4$ we get $100$.
Therefore $\dfrac{3}{{25}} = \dfrac{{12}}{{100}}$
Step3: Further write down $12$ with the decimal point $2$ spaces from the right (because $100$ has two zeroes). So we can write $\dfrac{{12}}{{100}}$ is $12$.
that is $\dfrac{{12}}{{100}} = 0.12$.
Therefore, $\dfrac{3}{{25}}$ can be written as $0.12$ in decimal.

Note:
Decimal a number system in mathematics positional numeral system takes as a base and requires in different numbers the digit $0,1,2,3,.....,9$. It also requires a dot (decimal point) to represent decimal fraction. The numerals used in density a number on the different place value depending upon the position.