Question

How do you convert \[\dfrac{5}{9}\] to a decimal?

Answer 1

Hint:In this question, we will use the concept of division to convert a fraction form to a decimal number. For converting a fraction number to a decimal number, the numerator of a fraction number is divided by the denominator of the fraction number.

Complete step by step answer:
In this question, we have a fraction number that needs to be converted to a decimal number. We have given the fraction number as \[\dfrac{5}{9}\].
In the fraction number, we divide the value of numerator with the value of denominator to convert it into a decimal number,
Then, by dividing the numerator value with denominator value, we have.
\[ \Rightarrow \dfrac{5}{9} = 0.555555555555\].
As we can see that in the decimal number, the digit \[5\]is repeated. This decimal form is known as a recurring or repeating decimal.
As we know that the recurring decimal is defined as in the decimal number if the one or more number is repeating in a sequence after a decimal point, and which is continuing infinitely. Then we used the rounded rule for three digits after the decimal point.
Now we can write the decimal form of the given fraction as,
\[ \Rightarrow \dfrac{5}{9} = 0.556\].

Therefore, the fraction number \[\dfrac{5}{9}\] can be written in the decimal form as \[0.556\].

Note: As we know that the fraction form is defined as the form which has some numerator and denominator value while the decimal number is defined as the number which has the whole number and fraction part in which the whole number part and fraction part is separated by a decimal point.