What is 7/9 as a decimal?

Solution

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

• The fraction $$\frac79$$ is written as $$7\div9$$.- 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 $$0.\overline7$$.

The answer to question $$7\div9$$ is $$0.\overline7$$.

Remember

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