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Last updated on May 26th, 2025

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21 1/3 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions, mixed numbers, and decimals. A fraction represents a part of a whole. It has two parts: the 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 mixed number combines a whole number and a fraction. A decimal is a way to represent a 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 those to the right represent the fractional part.

21 1/3 as a Decimal for US Students
Professor Greenline from BrightChamps

What is 21 1/3 as a decimal?

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...

Professor Greenline from BrightChamps

Important Glossaries for 21 1/3 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.
     
  • 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.
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we believe math questions are more than just problems—they’re keys that unlock a world of possibilities! Our goal is to support children across the United States in mastering crucial skills, such as today’s focus on the 21 1/3 as a Decimal with an emphasis on understanding decimal conversions—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, having solid math skills builds their confidence for everyday life. Our hands-on lessons make learning approachable and enjoyable. Since children in the USA learn in unique ways, we customize our teaching to suit each child’s learning style. From the lively streets of New York to the sunny coasts of California, BrightChamps brings math to life, making it interesting and relevant across America. Let’s make decimal conversions an exciting part of every child’s math adventure!
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