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Last updated on August 5, 2025

3 1/3 as a Decimal

Professor Greenline Explaining Math Concepts
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.
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