What is 5/9 as a decimal?

5/9 as a decimal is 0.5

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Solution

A repeating decimal fraction is a fraction that, when divided, gives a decimal in which a digit or a sequence of digits repeats itself in a pattern.

The digits that are repeated are after the decimal point. We use the long division method to find if a fraction gives a repeating decimal as an answer.

The long division is done with the numerator as the dividend and the denominator as the divisor. Here the numerator 5 is the dividend and the denominator 9 is the divisor.

Note that we add a 0 to 5 to make it divisible by 9.

The number 50 is divisible by 9 five times giving 45. We get 5 as the remainder in the first step.

In the second step, we have 50 again, which is divisible 5 times by 9 giving 5 as a reminder again.

We can conclude that the same remainder will be the result of further division.

Hence here the digit 5 in the quotient is the repeating number and is infinite.

The answer to the fraction $$\frac{\mathbf5}{\mathbf9}$$ is 0.555……

The repeating decimals can be written in a terminating form by placing a bar over the digit that is repeated

$$\mathbf0\boldsymbol.\mathbf{555}\boldsymbol.\boldsymbol.\boldsymbol.\boldsymbol=\mathbf0\boldsymbol.\overset{\boldsymbol¯}{\mathbf5}$$

Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac{5}{9}$$, the number 5 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

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