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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 Indian 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 India

At BrightChamps, we understand math questions go beyond just calculations—they open doors to countless opportunities! Our goal is to assist children across India in mastering important skills like today’s focus on the 3 1/3 as a Decimal with a key emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand way. Whether your child is calculating the speed of a train, following scores in a cricket match, or managing their pocket money for the latest gadgets, good math skills build their confidence for daily challenges. Our interactive lessons make learning fun and simple. Since children in India learn in varied ways, we adapt our teaching to fit each child’s unique style. From the bustling markets of Mumbai to the vibrant streets of Delhi, BrightChamps brings math to life, making it relevant and exciting all over India. Let’s make decimal conversions a fun part of every child’s math journey!
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