21 1/3 as a Decimal

Answer

21 1/3 in decimals can be written as 21.33333... It is a recurring decimal, indicating that the digit 3 will repeat infinitely.

Explanation

To get 21 1/3 in decimal, we first convert the fraction 1/3 into a decimal. Using the division method, 1 divided by 3 gives 0.3333... Now we add this decimal to the whole number 21. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. The whole number is 21, and the fraction is 1/3.

Step 2: Convert the fraction 1/3 into a decimal by dividing the numerator (1) by the denominator (3).

Step 3: As 1 is smaller than 3, we use decimal division. We add a decimal point in the quotient and treat the 1 as 10.

Step 4: Divide 10 by 3, which gives 3 with a remainder of 1. Bring down another 0 to make it 10 again. Repeat the division process.

Step 5: The division process continues, as we don't get a remainder of 0. This process leads to a recurring decimal.

Thus, 21 1/3 as a decimal is 21.3333...

• 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.
   
• Mixed Number: A number consisting of an integer and a proper fraction.
   
• Recurring Decimal: A decimal fraction that repeats a digit or group of digits infinitely.
   
• Division: A mathematical operation where a number is divided into equal parts.