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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 Singaporean 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 Singapore

At BrightChamps, we believe math questions are more than just exercises—they’re opportunities for growth! Our mission is to support children across Singapore in developing important skills, such as today’s focus on the 8/3 as a Decimal with a key emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Universal Studios Singapore, tracking scores at a local football match, or managing their allowance for the latest gadgets, strong math skills build their confidence to face daily tasks. Our lessons are interactive and fun. Since kids in Singapore have diverse learning styles, we customize our teaching to suit each child. From the bustling city streets to the scenic gardens, BrightChamps makes math come alive, making it relevant and exciting throughout Singapore. Let’s make decimal conversions an enjoyable part of every child’s learning journey!
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