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1/7 as a decimal is 0.142857

Want to practice?

In the fraction ,  the number 1 above is

  • Numerator
  • Denominator
  • Decimal
  • Fraction

In the fraction ,  the number 7 below is

  • Numerator
  • Denominator
  • Decimal
  • Fraction
What is the equivalent fraction to 1/7?
  • 3/21
  • 3/3
  • 3/4
  • 21/3
What is the equivalent fraction to 1/7?
  • 4/24
  • 28/4
  • 4/28
  • 2/26

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.

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 to perform the long division.

 

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

 

Remember

Here are some common terms you should be familiar with.

  • In the fraction , the number 1 is the dividend (our numerator)
  • The number 7 is our divisor (our denominator)

Find More Fractions to Decimals

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