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Last updated on May 26th, 2025

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-3 1/3 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn mixed numbers and decimals. A mixed number consists of a whole number and a fraction. The fraction has two parts: the numerator (the number on the top) represents how many parts out of the whole, here it is 1. The denominator (the 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 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.

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

What is -3 1/3 as a decimal?

-3 1/3 as a decimalAnswer

 

-3 1/3 as a decimal can be written as -3.33333. It is a recurring decimal, showing it will repeat the same digit infinitely.

 

Explanation

 

To convert -3 1/3 to a decimal, we will separate the whole number from the fraction and convert the fraction to a decimal.

 

Step 1: Identify the whole number and the fraction. Here, the whole number is -3, and the fraction is 1/3.

 

Step 2: Convert 1/3 to a decimal by using division. As 1 is smaller than 3, we will use the decimal method, which results in 0.3333.

 

Step 3: Let's see the step by step breakdown of the process: - Identify the numerator and denominator; the numerator (1) will be taken as the dividend, and the denominator (3) will be the divisor. - As 1 is smaller than 3, it can't be divided, so we use decimals. We add 0 to the dividend, making 1 as 10 and add a decimal point in the quotient. - Now 10 can be divided by 3. Let's see how many times 3 makes 10. - 10 is not a multiple of 3, so we look for the nearest number: 3 × 3 = 9. - Write 3 in the quotient place and subtract 9 from 10, giving 1. - Bring down another 0 in the dividend place and make 1 as 10, then repeat the division process. - The division process continues, and we don't get the remainder as 0; this process is called a recurring decimal.

 

Step 4: Combine the whole number and the decimal part. The answer for -3 1/3 as a decimal will be -3.333.

Professor Greenline from BrightChamps

Important Glossaries for -3 1/3 as a decimal

  • Mixed Number: A number made up of 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 one or more digits repeat infinitely.
     
  • Denominator: The bottom part of a fraction, showing how many parts make up a whole.
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 -3 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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