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……

• 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.