Question

How do you simplify and make the fraction $\dfrac{{13}}{{25}}$ into a decimal ?

Answer 1

Hint: The given question is asking us to make a given fraction into a decimal. First we have to understand what are decimal and what are fractions, the first part fraction means any number of the type $\dfrac{x}{y}$ which has two parts: numerator and denominator. The fraction can be solved by easily dividing the numerator by the denominator. For decimals when there is a part of a number other than its whole number part we write it in a way we call it decimal . Examples of a decimal are $54.25$ where $54$ is the whole number part and the $25$ is the decimal part in the number. We have to convert the fraction $\dfrac{{13}}{{25}}$ into the fraction we just write the number achieved after dividing the numerator by denominator in the given fraction.

Complete step-by-step solution:
The given question asks us to convert the fraction into a decimal, for doing that we will divide the numerator by the denominator and achieve our final answer.
$\dfrac{{13}}{{25}}$
numerator$ = 13$
and denominator$ = 25$
upon dividing the numbers we get
$\dfrac{{13}}{{25}} = \dfrac{{13 \times 4}}{{25 \times 4}}$
$ = \dfrac{{52}}{{100}}$
$ = 0.52$
Thus we have converted the given fraction into its decimal form . Both these forms are interchangeable among themselves .

Therefore the required answer is 0.52.

Note: The fractions in which the denominator of the fraction is greater the numerator of the fraction the fraction is called to be as the improper fraction which will mean that it will be of the form of only decimal part with whole number part being $0$in the number. The above fraction in the question is an example of an improper fraction.