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Last updated on May 26th, 2025

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83 1/3 as a Decimal

Professor Greenline Explaining Math Concepts

This is a simple question on decimal conversion. To convert a mixed number into a decimal, we need to understand both whole numbers and fractions. A mixed number like 83 1/3 consists of a whole number (83) and a fraction (1/3). A decimal is a way to express numbers that are not whole; it uses a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole part, while those to the right represent the fractional part.

83 1/3 as a Decimal for US Students
Professor Greenline from BrightChamps

What is 83 1/3 as a decimal?

83 1/3 as a decimal

Answer

 

83 1/3 in decimal form is 83.33333… It is a recurring decimal, meaning that it repeats the same digit indefinitely.

 

Explanation

 

To convert 83 1/3 into a decimal, we first need to convert the fractional part (1/3) into a decimal. Let's break down the process step by step:

 

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

 

Step 2: Because 1 is smaller than 3, we use the decimal method to perform the division, which will yield 0.3333…

 

Step 3: Convert the whole number part, 83, into a decimal, which remains 83.

 

Step 4: Combine the whole number part and the fractional decimal part. Add 0.3333… to 83, resulting in 83.3333… The division process for the fraction continues indefinitely, making it a recurring decimal.

Professor Greenline from BrightChamps

Important Glossaries for 83 1/3 as a decimal

  • Mixed Number: A number consisting of an integer and a fraction.
     
  • Fraction: A numerical quantity representing a part of a whole.
     
  • Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
     
  • Recurring Decimal: A decimal in which one or more digits repeat infinitely.
     
  • Whole Number: A number without fractions; an integer.
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we believe math questions are more than just problems—they’re keys that unlock a world of possibilities! Our goal is to support children across the United States in mastering crucial skills, such as today’s focus on the 83 1/3 as a Decimal with an emphasis on understanding decimal conversions—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, having solid math skills builds their confidence for everyday life. Our hands-on lessons make learning approachable and enjoyable. Since children in the USA learn in unique ways, we customize our teaching to suit each child’s learning style. From the lively streets of New York to the sunny coasts of California, BrightChamps brings math to life, making it interesting and relevant across America. Let’s make decimal conversions an exciting part of every child’s math adventure!
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