What is 1/7 as a decimal?

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What is 1/7 as a decimal?

1/7 as a decimal is 0.142857

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Solution

The decimals are numbers that have a whole number part and a fraction part separated by a decimal point. The digits on the left of the decimal point represent the whole number part and the digits on the right represent the fraction part.

All fractions can be converted to decimal form using the long division method. The long division method involves the division of the numerator by the denominator.

Boost your score What are recurring decimal numbers img

The long division of some fractions gives the same quotient value repeatedly and hence the decimal becomes a non-terminating decimal number or a recurring decimal number.

The recurring decimal numbers have one or more of the digits repeated sequentially.

Let us take the example of fraction $$\frac17$$ to perform the long division.

what is 1 over 7 as a decimal

 

It can be seen that the remainder 1 is repeated again in the last step. We can stop the division once the remainder is repeated. It implies that the digits 142857 are recurring and the division will not end.

Hence the answer to the fraction can be written as 0.142857142857…… or

$$0.\overline{142857}$$

 

Remember

Here are some common terms you should be familiar with.

  • In the fraction $$\frac{1}{7}$$, the number 1 is the dividend (our numerator)
  • The number 7 is our divisor (our denominator)

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