What is 8/9 as a decimal?

8/9 as a decimal is 0.888...

Want to practice?

Question 1Convert the fraction

What is 8/9 written as a decimal?

Answer

0.88888889.

Divide 8 by 9.

Question 2Check with multiplication

How can you check the decimal value of 8/9?

Answer

Multiply 0.88888889 by 9; the result is 8.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 8/9?

Answer

88.8889%.

Multiply the decimal 0.88888889 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 8/9 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.88888889.

Solution

• The decimal form of a fraction is representing the whole number and the fraction part is separated by the decimal point.
• The decimal form of a fraction gives accurate values sometimes and approximate values sometimes.
• The long division method is used to find the decimal value of the fraction.

To perform a long division, divide the numerator by the denominator where the numerator is the dividend and the denominator is the divisor.

You can start the division by placing a decimal point in the quotient and adding zero to the dividend. This is done only in cases where the divisor is greater than the dividend and hence cannot be divided.

As we can see that 9 > 8, a decimal point should be placed in the quotient, and 0 has to be added to the divisor to make it divisible by 9.

The first step of the division gives 8 as the remainder. After adding 0 to this, we get 80 again which will give the same digits in the quotient.

This form of a decimal in which one or a sequence of digits are repeated is called the repeating decimals or the recurring decimals.

If the fraction is divided continuously, the resulting answer will be 0.888….

This answer can be written in a terminating form as $$0.\overline8$$.

Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac89$$, the number 8 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

Next, you can learn what is 7/10 as a decimal fraction.