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Last updated on May 26th, 2025

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8/3 as a Decimal

Professor Greenline Explaining Math Concepts

Understanding decimal conversion is essential for interpreting fractions. A fraction represents a part of a whole and consists of two parts: the numerator (the number on top), which shows how many parts are considered, and the denominator (the number below), which indicates how many parts make up a whole. A decimal, on the other hand, represents numbers that are not whole using a point (.) to separate the whole part from the fractional part. The digits to the left of the decimal point represent the whole part, while those to the right indicate the fractional part.

8/3 as a Decimal for Filipino Students
Professor Greenline from BrightChamps

What is 8/3 as a decimal?

8/3 as a decimal

Answer

 

8/3 in decimal form is 2.66666… It is a recurring decimal, meaning it repeats the same digit infinitely.

 

Explanation

 

To convert 8/3 into a decimal, we will use the division method. Since 8 is larger than 3, we proceed with dividing directly. Here's a step-by-step breakdown:

 

Step 1: Identify the numerator and denominator. Here, the numerator (8) is the dividend, and the denominator (3) is the divisor.

 

Step 2: Divide 8 by 3. Since 8 is greater than 3, we divide directly.

 

Step 3: 3 goes into 8 two times (3 × 2 = 6). Write 2 in the quotient and subtract 6 from 8, leaving a remainder of 2.

 

Step 4: Bring down a 0 to make the remainder 20. Divide 20 by 3, which goes 6 times (3 × 6 = 18). Write 6 in the quotient and subtract 18 from 20, leaving a remainder of 2.

 

Step 5: Repeat the process by bringing down another 0 to again make it 20. This process will continue indefinitely, showing that 8/3 is a recurring decimal.

Professor Greenline from BrightChamps

Important Glossaries for 8/3 as a decimal

  • Fraction: A numerical expression representing a part of a whole.
     
  • Decimal: A number that uses the base ten system, including a decimal point to separate the whole number from the fractional part.
     
  • Recurring Decimal: A decimal number that has one or more repeating digits after the decimal point.
     
  • Numerator: The top part of a fraction, indicating the number of parts being considered.
     
  • Divisor: The number by which another number is to be divided in a division operation.
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 8/3 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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