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5/9 as a decimal is 0.5

Want to practice?

In the fraction 5/9 , the number 5 is

  • Numerator
  • Denominator
  • Decimal
  • Fraction

In the fraction 5/9 , the number 9 is

  • Numerator
  • Denominator
  • Decimal
  • Fraction

What is the equivalent fraction to 5/9?

  • 5/18
  • 10/18
  • 10/27
  • 5/27

What is the equivalent fraction to 5/9?

  • 15/18
  • 10/27
  • 20/36
  • 20/27

Solution

A repeating decimal fraction is a fraction that, when divided, gives a decimal in which a digit or a sequence of digits repeats itself in a pattern.

The digits that are repeated are after the decimal point. We use the long division method to find if a fraction gives a repeating decimal as an answer.

The long division is done with the numerator as the dividend and the denominator as the divisor. Here the numerator 5 is the dividend and the denominator 9 is the divisor.

Note that we add a 0 to 5 to make it divisible by 9.

The number 50 is divisible by 9 five times giving 45. We get 5 as the remainder in the first step.

In the second step, we have 50 again, which is divisible 5 times by 9 giving 5 as a reminder again.

We can conclude that the same remainder will be the result of further division.

Hence here the digit 5 in the quotient is the repeating number and is infinite.

The answer to the fraction is 0.555……

The repeating decimals can be written in a terminating form by placing a bar over the digit that is repeated

 

Remember

Here are some common terms you should be familiar with.

  • In the fraction , the number 5 is the dividend (our numerator)
  • The number 9 is our divisor (our denominator)

 

Find More Fractions to Decimals

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