What is 4/9 as a decimal?

3 min read
What is 4/9 as a decimal?

4/9 as a decimal is 0.44

Want to practice?

 

Solution

A recurring decimal is a decimal in which a sequence of digits is repeated. A recurring or repeating decimal number is the result of long division where the division of the number gives the same remainders in the consecutive steps.

4 over 9 as a decimal

Some of the examples of recurring decimals are


0.4444…., 1.363636…., 0.48754875…., 0.7535353….

The digits that are repeated are indicated by placing a bar over the numbers.
The digits above can be written as

$$0.\overline4,\;1.\overline{36},\;0.\overline{4875},\;0.7\overline{53}$$

The long division method is used to convert the fractions to decimal forms. It can be observed that all the divisions do not give a decimal answer with remainder 0.

Some fractions give a decimal answer that has one or more digits repeating in a sequence and hence are called repeating or recurring decimals.

Let us take the example of a fraction $$\frac49$$ which will give us a simple recurring decimal number.

4/9 as a decimal

$$\hspace{4mm}0.44..\\9\overline{)4\color{Red}0}\\\frac{-36}{4\color{Red}0}\\\frac{-36}{4}$$

Here it can be seen that the number 4 is repeating in the steps of division and hence gives the same digits in the quotient.

Hence the answer is 0.4444…

Boost your score What is 4/9 as a decimal img

As mentioned earlier, the recurring digits are written by placing a bar over the digit that is repeated.

Hence the decimal form of the fraction $$\frac49$$ is $$0.\overline4$$.

 

Remember

Here are some common terms you should be familiar with.

  • In the fraction $$\frac49$$, the number 4 is the dividend (our numerator)
  • The number 9 is our divisor (our denominator)

 

Such a topic may be interesting for you: What is 15/16 as a decimal fraction?

Find More Fractions to Decimals