21 1/3 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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.

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...

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.