Question

How do you write $\dfrac{4}{{15}}$ as a decimal?

Answer 1

Hint: Here just divide the top of the fraction by the bottom. A fraction is made up of two parts: a numerator and a denominator. It is used to represent how many parts we have out of the total number of parts.

Complete step by step answer:
We divide $4$ by $15$:
$\dfrac{4}{{15}} = 0.2666....$
The sixes repeat forever so we pot a bar over them like this:
$\dfrac{4}{{15}} = 0.2\overline 6 $

Note:Conversion between fractions and decimals can be applied in our daily life when measuring our quantities. A fraction is usually used when determining how much of an ingredient is left in a pack.
Conversion of fractions to decimals isn’t a difficult task, however, to understand the operations, we need to know about decimal division. The most important skill in this topic is also understanding how to deal with terminating and repeating decimals in the final answer.
In fractions, the numerator is an integer above or before the slash and the denominator is an integer after or below the line. The line is usually a division symbol. Therefore, to convert a fraction to a decimal, the numerator is divided by the denominator.
Enough trailing zeros are attached to the numerator so that the continued division continues until the result is either a terminating decimal or a repeating decimal.
To convert fractions to decimals:
Divide the numerator by the denominator. If a fraction is a mixed number, convert it to an improper fraction.