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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 Filipino 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 Philippines

At BrightChamps, math questions are more than just calculations—they open up countless possibilities! Our goal is to help children throughout the Philippines build important skills, such as today’s focus on the 83 1/3 as a Decimal with a special focus on decimal conversions—in a lively, enjoyable, and simple way. Whether your child is figuring out the speed of a roller coaster at Enchanted Kingdom, following scores at a local basketball game, or managing their allowance to buy gadgets, mastering math gives them the confidence they need for everyday life. Our interactive lessons make learning fun and straightforward. Because kids in the Philippines learn in different ways, we tailor our approach to fit each child’s style. From the busy streets of Manila to the beautiful islands of Palawan, BrightChamps brings math to life, making it relatable and exciting across the Philippines. Let’s make decimal conversions a fun part of every child’s math journey!
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