Question

How do you change the fraction \[\dfrac{{13}}{{20}}\] into a decimal number?

Answer 1

Hint:A decimal number is a type of number in which there is a point that divides the whole number and the fractional part. The point is called the decimal point. Here in this question, we can first convert the denominator into such a number due to which the numerator gets easily divisible. After that it gets easy to apply the basic decimal rule, and we will get our answer.

Complete step by step answer:
We know that a fraction is divided into two parts where one is numerator and other is denominator. Here, the two parts are divided by a line called the fraction bar. The bar says that both the numbers are dividing themselves. The number which is above the bar is called the numerator, and the number below the bar is the denominator. So, here the numerator is \[13\] and the denominator is \[20\].

To change the fractional number into a decimal number, we need to convert the denominator in such a way that the numerator gets easily divided by the denominator, or we can convert the denominator into \[100\]. If we change the denominator into \[100\], then our numerator also gets changed. Here, we will multiply \[5\] on both the numerator and the denominator, and then we get:
\[ \Rightarrow \dfrac{{13}}{{20}} = \dfrac{{13}}{{20}} \times \dfrac{5}{5}\]

This way our denominator becomes \[100\] and our numerator is:
\[ \Rightarrow \dfrac{{13}}{{20}} = \dfrac{{65}}{{100}}\]
Now, when we see the fraction \[\dfrac{{65}}{{100}}\], we see that the numbers are divided, and so, according to the basic rule of decimal number, if there are two zeros after 1 in the denominator, then the decimal point shifts to two places back of the numerator. This usually happens during division. So, now:
\[ \therefore \dfrac{{13}}{{20}} = 0.65\]

Therefore, our decimal number is \[0.65\].

Note:The above method is very simple and easy. There is another method to solve this question. We can also directly divide \[13\] by \[20\]. The result will be the same. This is possible here because the numbers are small. It becomes very difficult if the numbers are very big.