Decimal

# What is 2/7 as a decimal?

## 2/7 as a decimal is 0.285714

A repeating decimal is a decimal number that has its decimal digits repeated periodically.

For example:

1.83333…., 0.2323232…., 2.254725472547….

Such decimals are represented by placing a bar over the repeating digits.$$1.8\overline3,;0.\overline{23},;2.\overline{2547}$$

## Solution

Let us consider the fraction $$\frac27$$ to be converted to decimal form.Note that since 2 cannot be divided by 7, you can add zeros to the dividend by placing a decimal point in the quotient.

We get different remainders in each step 6,4,5,1 and 3 after which the remainder is 2. Hence if we were to proceed with the division, we will get the same digits in the quotient again.The answer would go on as **0.285714285714……**

We can stop the division when the remainder repeats itself.

Hence the answer is 0.285714285714……. This is written as $$0.\overline{285714}$$.

## Remember

Here are some common terms you should be familiar with.

- In the fraction $$\frac27$$, the number 2 is the dividend (
**our numerator**) - The number 7 is our divisor (
**our denominator)**.

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