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1/12 as a decimal is 0.083

Want to practice?

In the fraction 1/12 , the number 1 is

  • Numerator
  • Denominator
  • Decimal
  • Fraction

In the fraction 1/12 , the number 12 is

  • Numerator
  • Denominator
  • Decimal
  • Fraction
What is the equivalent fraction to 1/12?
  • 2/12
  • 2/24
  • 1/24
  • 3/24

What is the equivalent fraction to 1/12?

  • 3/36
  • 3/12
  • 2/36
  • 1/36

Solution

All fractions can be converted to the decimal form by the long division method.

The fraction can be written as .

Let us do the long division for the given fraction.

  • When the dividend is less than the divisor, add a decimal point to the quotient and add 0 to the dividend.
  • We can see that the dividend is still 10 and cannot be divided by 12. Hence add another 0 after the decimal point in the quotient and add 0 to the dividend to make it 0.
  • Carry out the division. It can be seen that the remainder 4 is recurring and hence the digit 3 in the quotient is repeated.
  • We can stop the division here as we know that the answer is a non-terminating decimal.

Hence the decimal form of the fraction is 0.8333……

Here we can see that the digit 3 is repeating and hence it can be denoted with the help of a bar over the number.

Note that the digit 8 is not repeated and hence the bar has to be drawn only for the digits that are repeated.

 

Remember

Here are some common terms you should be familiar with.

  • In the fraction , the number 1 is the dividend (our numerator)
  • The number 12 is our divisor (our denominator)

Find More Fractions to Decimals

Such a topic may be interesting for you: What is 13/16 as a decimal fraction?

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