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7/9 as a decimal is 0.777…

Want to practice?

In the fraction 7/9 , the number 7 is

  • Numerator
  • Denominator
  • Decimal
  • Fraction

In the fraction 7/9 , the number 9 is

  • Numerator
  • Denominator
  • Decimal
  • Fraction

What is the equivalent fraction to 7/9?

  • 21/27
  • 28/32
  • 14/27
  • 32/36

What is the equivalent fraction to 7/9?

  • 32/45
  • 35/54
  • 35/45
  • 27/36

 

Solution

The following are the steps required to do the division of the numbers 7 divided by 9:

  • The fraction is written as .
  • Use the long division method to divide 7 by 9.
  • Add 0 to the dividend by placing a decimal point in the quotient.
  • Repeat the steps of division till you get 0 or till the remainder is repeated.

Carry out the long division.

  • It can be seen that 9 > 7 and hence it cannot be divided by 7.
  • Place a decimal point in the quotient and add 0 to the dividend to make it 70.
  • 70 is divisible 7 times by 9 leaving a remainder of 7.
  • Repeating the division again will add another 7 to the quotient and leaves a remainder of 7 again.
  • Since this step is repeated, we will stop the division as we know that the answer has the digit 7 which is repetitive.
  • The answer is written as 0.77……

Such decimals are called repeating decimals. They are represented with a bar over the digits.

Here 0.77…. will be represented as .

 

The answer to question is .

 

Remember

Here are some common terms you should be familiar with.

  • In the fraction , the number 7 is the dividend (our numerator)
  • The number 9 is our divisor (our denominator)

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