# What is 2/9 as a decimal?

## Want to practice?

The fraction $$\frac29$$ is written in decimal form on the right side.

• To convert the fraction to its decimal form, just divide the numerator by the denominator.
• The numerator of the fraction is the number at the top of the fraction and the denominator is the number at the bottom of the fraction.
• The numerator of the fraction is the dividend and the denominator is the divisor.

Let’s see how we can carry out this division.

Here we can see that at each step the remainder 2 is repeated.

In a division, when the remainder is repeated, it means the answer is a repeating decimal.
A repeating decimal is a decimal in which the digits repeat in a sequence.

We can see that 2 is repeated, hence the decimal form of the fraction is 0.2222….
We can also write this as which means that 2 is repeated.

## Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac29$$, the number 2 is the dividend (our numerator)
• The number 9 is our divisor (our denominator).

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