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Last updated on March 3rd, 2025

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4 2/3 as a Decimal

Professor Greenline Explaining Math Concepts
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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 of a whole. It has two parts: the numerator (number on the top), here 2, 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 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 that to the right represents the fractional part.

Professor Greenline from BrightChamps

What is 4 2/3 as a decimal?

4 2/3 as a decimalAnswer

 

4 2/3 in decimals can be written as 4.66666…. It is a recurring decimal, showing it will repeat the same digit infinitely.

 

Explanation

 

To convert 4 2/3 to a decimal, we first convert the fractional part using the division method. Let's break down the process:

 

Step 1: Identify the whole number and the fractional part. Here, 4 is the whole number, and 2/3 is the fractional part.

 

Step 2: Convert the fraction 2/3 into a decimal. The numerator (2) will be the dividend, and the denominator (3) will be the divisor.

 

Step 3: As 2 is smaller than 3, it can't be divided, so we'll use decimals. We add 0 to the dividend, making it 20, and place a decimal point in the quotient.

 

Step 4: Divide 20 by 3. 3 goes into 20 six times (3 × 6 = 18). Subtract 18 from 20 to get 2.

 

Step 5: Bring down another 0, making it 20, and repeat the division process. The division process continues, and we do not get the remainder as 0. This process is called a recurring decimal.

 

Finally, add the decimal part 0.6666… to the whole number 4, resulting in 4.6666…

Professor Greenline from BrightChamps

Important Glossaries for 4 2/3 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 in which one or more digits repeat infinitely.
     
  • Dividend: The number that is being divided in a division operation.
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