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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 Indonesian 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 Indonesia

At BrightChamps, math questions are more than simple exercises—they open up countless possibilities! Our mission is to support kids across Indonesia in developing key skills like today’s focus on the 3 1/3 as a Decimal, with particular attention on decimal conversions—in a fun, engaging, and easy-to-understand way. Whether your child is figuring out the speed of a roller coaster at Dunia Fantasi, keeping score in a local badminton game, or managing their allowance to buy gadgets, mastering math builds their confidence to tackle daily challenges. Our interactive lessons make learning both fun and easy. Since children in Indonesia learn differently, we tailor our approach to meet their individual styles. From the lively streets of Jakarta to the gorgeous beaches of Bali, BrightChamps makes math relevant and exciting throughout Indonesia. Let’s make decimal conversions a fun part of every child’s learning journey!
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