# 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

Here are some common terms you should be familiar with.

• In the fraction $$\frac79$$, the number 7 is the dividend (our numerator)
• The number 9 is our divisor (our denominator)

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