Question

How do you write \[\dfrac{{19}}{{50}}\] in decimal?

Answer 1

Hint: Here we will first modify the given fraction such that the denominator of the fraction becomes a multiple of 10. Then we will apply division operation to get the decimal form of the given fraction.

Complete step by step solution:
The given fraction is \[\dfrac{{19}}{{50}}\].
First, we will multiply the given fraction by a number so that its denominator becomes a multiple of 10.
Therefore, we will multiply numerator and denominator by 2 to get the 100 in the denominator. Therefore, we get
\[\dfrac{{19}}{{50}} = \dfrac{{19 \times 2}}{{50 \times 2}}\]
Multiplying the terms, we get
\[ \Rightarrow \dfrac{{19}}{{50}} = \dfrac{{38}}{{100}}\]
We know that \[\dfrac{1}{{100}} = 0.01\].
Using this we can write the above equation as
\[ \Rightarrow \dfrac{{19}}{{50}} = 38 \times 0.01 = 0.38\]

Hence, the decimal form of the fraction \[\dfrac{{19}}{{50}}\] is \[0.38\].

Note: Any number can be represented in decimal form. We do not need to write whole numbers in decimal form because it is already implied. For example, 34.00 can simply be written as 34. We know that there are three types of fractions and they are proper fractions, improper fractions, and mixed fractions.
Proper fractions are a fraction having the numerator less, or lower in degree, than the denominator.
An improper Fraction is a fraction where the numerator is greater than or equals to the denominator, then it is known as an improper fraction.
A mixed Fraction is the combination of a natural number and fraction. It is basically an improper fraction. After the simplification of a mixed fraction results in the value which is always greater than 1. An improper fraction can be converted into a mixed fraction.