What is 7/9 as a decimal?

7/9 as a decimal is 0.777...

Want to practice?

Question 1Convert the fraction

What is 7/9 written as a decimal?

Answer

0.77777778.

Divide 7 by 9.

Question 2Check with multiplication

How can you check the decimal value of 7/9?

Answer

Multiply 0.77777778 by 9; the result is 7.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 7/9?

Answer

77.7778%.

Multiply the decimal 0.77777778 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 7/9 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.77777778.

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). 

Find More Fractions to Decimals

1/1 = 1	1/8 = 0.125	3/4 = 0.75	7/9 = 0.7	11/16 = 0.6875	8/9 = 0.8	7/8 = 0.875	4/5 = 0.8
1/2 = 0.5	1/9 = 0.1	2/5 = 0.4	3/10 = 0.3	15/32 = 0.4687	7/10 = 0.7	5/9 = 0.5	4/7 = 0.571
1/3 = 0.3	1/10 = 0.1	5/6 = 0.83	2/11 = 0.18	3/5 = 0.6	3/11 = 0.27	9/10 = 0.9
1/4 = 0.25	1/11 = 0.09	2/7 = 0.28571	5/11 = 0.45	3/7 = 0.428571	6/11 = 0.54	4/11 = 0.36
1/5 = 0.2	1/12 = 0.083	5/7 = 0.71428	8/11 = 0.72	6/7 = 0.85714	7/12 = 0.583	7/16 = 0.4375
1/6 = 0.16	1/16 = 0.0625	3/8 = 0.375	5/12 = 0.416	5/8 = 0.625	5/16 = 0.3125	15/16 = 0.9375
1/7 = 0.142857	2/3 = 0.6	2/9 = 0.2	3/16 = 0.1875	4/9 = 0.4	13/16 = 0.8125	19/32 = 0.5937

You are interesting, what is 5/9 as a decimal fraction?