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Last updated on May 26th, 2025

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8 1/3 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A mixed number like 8 1/3 combines a whole number and a fraction. The fraction part, 1/3, represents a part of the whole. It has two parts: the numerator (the number on the top), which is 1, represents how many parts out of the whole; the denominator (the number below), which is 3, shows how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

8 1/3 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 8 1/3 as a decimal?

8 1/3 as a decimal

Answer

 

8 1/3 in decimals can be written as 8.33333… It is a recurring decimal, indicating it will repeat the same digit infinitely.

 

Explanation

 

To convert 8 1/3 to a decimal, we first convert the fractional part (1/3) to a decimal. Here's the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator. The numerator (1) will be taken as the dividend, and the denominator (3) will be taken as the divisor.

 

Step 2: As 1 is smaller than 3, it can't be divided directly. We use the decimal method by adding 0 to the dividend, making it 10, and adding a decimal point in the quotient place.

 

Step 3: Now that it is 10, we can divide it by 3. Determine how many times 3 fits into 10.

 

Step 4: 10 is not a multiple of 3, so find the nearest number, which is 3 × 3 = 9. Write 3 in the quotient place and subtract 9 from 10, leaving 1.

 

Step 5: Bring down another 0 in the dividend place, making it 10, and repeat the division process. The division process continues, never reaching a remainder of 0, resulting in a recurring decimal. Thus, 1/3 as a decimal is 0.3333…

 

Finally, add this to the whole number 8, resulting in 8.3333…

Professor Greenline from BrightChamps

Important Glossaries for 8 1/3 as a decimal

  • Mixed Number: A number that combines a whole number and a fraction.
     
  • 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 a sequence of digits repeats infinitely.
     
  • Division: The process of determining how many times one number is contained within another.
Professor Greenline from BrightChamps

About BrightChamps in Australia

At BrightChamps, math questions are more than just exercises—they’re opportunities to grow and explore! Our mission is to help children across Australia develop important skills, including today’s focus on the 8 1/3 as a Decimal with special attention on decimal conversions—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the latest gadgets, strong math skills give them confidence for daily challenges. Our lessons are interactive and designed to be enjoyable. Since kids in Australia learn in various ways, we customize our teaching to meet their individual styles. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life, making it relatable and exciting throughout Australia. Let’s make decimal conversions a fun part of every child’s math journey!
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