1/3 as a decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 3. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is ⅓ as a decimal?

$1/3 as a decimal$

Answer:

⅓ in decimals can be written as 0.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation:

To get ⅓ in decimal, we will use division method. Here as 1 is smaller than 3 we will take help of decimal method which will give us 0.3333. Let's see the step by step breakdown of the process

Step 1 : Identify the numerator and denominator because numerator (1) will be taken as dividend and denominator (3) will be taken as divisor.

Step 2 : As 1 is smaller than 3 it can't be divided., here we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3 : Now that it is 10 we can divide it by 3. Let's see how many times 3 makes 10.

Step 4 : 10 is not a multiple of 3, so we will look for the nearest number that is 3 × 3 = 9
We will write 3 in the quotient place and subtract 9 from 10 gives 1.

Step 5 : bring down another 0 in the dividend place and make 1 as 10 and then repeat the division process.
The division process continues, we don't get the remainder as 0 this process is called recurring decimal.

The answer for ⅓ as a decimal will be 0.3333……

Important Glossaries for ⅓ as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Recurring Decimal: A decimal in which one or more digits repeat infinitely.
Dividend: The number being divided in a division operation.
Divisor: The number by which another number is divided.