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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

This is a straightforward question about converting a mixed number into a decimal. First, we need to understand mixed numbers and decimals. A mixed number includes a whole number and a fraction. In this case, '3' is the whole number, and '1/3' is the fractional part. A decimal represents a non-whole number using a decimal point (.) to separate the whole number part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.

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

What is 3 1/3 as a decimal?

3 1/3 as a decimal

 

Answer

3 1/3 in decimal form can be written as 3.3333... It is a recurring decimal, indicating that the digit '3' repeats infinitely.

 

Explanation

To convert 3 1/3 into a decimal, we'll first convert the fractional part, 1/3, into a decimal.

 

Step 1: Identify the numerator and denominator. Here, the numerator (1) is the dividend, and the denominator (3) is the divisor.

 

Step 2: Since 1 is smaller than 3, we use the decimal method. Add a decimal point in the quotient and make 1 as 10 by adding 0.

 

Step 3: Divide 10 by 3. 3 goes into 10 three times (3 × 3 = 9), leaving a remainder of 1.

 

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

 

Step 5: This process continues, resulting in a recurring decimal of 0.3333... Now, add the whole number '3' to the decimal part,

resulting in 3.3333...

Professor Greenline from BrightChamps

Important Glossaries for 3 1/3 as a decimal

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

 

  • Fraction: A numerical quantity representing part of a whole, with a numerator and a denominator.

 

  • Decimal: A number in the base ten system, using a decimal point to separate the whole part from the fractional part.

 

  • Numerator: The top part of a fraction, indicating how many parts of the whole are considered.

 

  • Recurring Decimal: A decimal in which one or more digits repeat infinitely.
Professor Greenline from BrightChamps

About BrightChamps in Canada

At BrightChamps, math questions are more than just calculations—they’re pathways to new possibilities! We aim to help children all over Canada build key skills, such as today’s focus on the 3 1/3 as a Decimal with an emphasis on decimal conversions—taught in an engaging, fun, and clear manner. Whether your child is figuring out how fast a roller coaster moves at Canada’s Wonderland, keeping score during a hockey game, or managing their allowance for gadgets, strong math skills give them confidence for everyday situations. Our engaging lessons are designed to be easy and enjoyable. Since children in Canada learn in diverse ways, we customize our teaching to match their needs. From the vibrant streets of Toronto to the stunning scenery of British Columbia, BrightChamps makes math come alive, making it exciting and relevant across Canada. Let’s turn decimal conversions into a fun part of every child’s math experience!
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