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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 Saudi 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 Saudi Arabia

At BrightChamps, math questions are more than just sums—they unlock a world of possibilities! Our mission is to guide children across Saudi Arabia in mastering vital skills, including today’s focus on the 3 1/3 as a Decimal with a special focus on decimal conversions—in a lively, enjoyable, and easy-to-understand manner. Whether your child is figuring out how fast a roller coaster moves at Riyadh’s Al Hokair Land, tracking scores at a local football match, or managing their allowance for gadgets, strong math skills boost their confidence for everyday challenges. Our interactive lessons are both fun and simple to follow. Since children in Saudi Arabia learn in many ways, we tailor our teaching to each child’s unique style. From the bustling streets of Riyadh to the historic sites of Jeddah, BrightChamps makes math come alive, making it relatable and exciting throughout Saudi Arabia. Let’s make decimal conversions a fun part of every child’s math adventure!
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