What is 2/3 as a decimal?

2/3 as a decimal is 0.666...

Want to practice?

Question 1Convert the fraction

What is 2/3 written as a decimal?

Answer

0.66666667.

Divide 2 by 3.

Question 2Check with multiplication

How can you check the decimal value of 2/3?

Answer

Multiply 0.66666667 by 3; the result is 2.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 2/3?

Answer

66.6667%.

Multiply the decimal 0.66666667 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 2/3 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.66666667.

Carla had poured out two-thirds of the apple juice from a 1-liter pack to a glass. What is the quantity of juice in the glass?

Solution

The fractions are referred to with the ‘parts out of the whole’. Here the amount of juice that Carla had poured in the glass is two-thirds, which is two parts out of three. This can be written as a fraction as $$\frac23$$.

To find the quantity of juice in the glass, we must convert the fraction to decimal.

To convert a fraction to the decimal form, the numerator should be divided by the denominator.

Here the numerator is 2, which is the dividend and the denominator is 3, which is the divisor.

Note that the division can be stopped once the remainder is repeated since it will give the same digits in the quotient.

Here the quotient we get is 0.666….

This can be written as $$\mathbf0\boldsymbol.\overset{\boldsymbol¯}{\mathbf6}$$.

Hence the quantity of juice in the glass is $$\mathbf0\boldsymbol.\overset{\boldsymbol¯}{\mathbf6}$$ liter.

Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac{2}{3}$$, the number 2 is the dividend (our numerator)
• The number 3 is our divisor (our denominator). 

We invite you to read other articles about decimals and fractions, on our blog, to learn how to write fractions as a decimal.

You may be interested in what is 3/8 as a decimal fraction?

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