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Last updated on May 26th, 2025

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7 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 7 1/3 combines a whole number with a fraction. The whole number here is 7, and the fraction is 1/3. A fraction represents a part of a whole, with the top part being the numerator (1) and the bottom part being the denominator (3). A decimal is a method to express numbers that aren't whole, using a decimal point to separate the whole number part from the fractional part.

7 1/3 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 7 1/3 as a decimal?

Answer:

 

7 1/3 in decimal form can be written as 7.3333... It is a recurring decimal, indicating that the digit 3 will repeat infinitely.

 

Explanation :

 

To convert 7 1/3 to a decimal, we need to convert the fraction part first. Here’s how we do it:

 

Step 1: Identify the whole number (7) and the fraction (1/3).

 

Step 2: Convert 1/3 to a decimal using division. Since 1 is smaller than 3, we add a decimal point and a zero to make it 10, then divide.

 

Step 3: Divide 10 by 3. The closest multiple is 3 x 3 = 9. Write 3 in the quotient and subtract 9 from 10, leaving a remainder of 1.

 

Step 4: Bring down another 0 to make it 10 again, and repeat the division process.

 

Step 5: This division results in a recurring decimal of 0.3333...

 

Step 6: Combine the whole number with the decimal fraction to get 7.3333...

Professor Greenline from BrightChamps

Important Glossaries for 7 1/3 as a decimal

  • Mixed Number: A number consisting of an integer and a fraction.

 

  • Fraction: A part of a whole, expressed with a numerator and a denominator.

 

  • Decimal: A number that uses a decimal point to show a part of a whole.

 

  • Recurring Decimal: A decimal in which a digit or group of digits repeats infinitely.

 

  • Whole Number: A number without fractions; an integer.
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 7 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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