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Last updated on May 26th, 2025

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8 6/11 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to understand mixed numbers and decimals. A mixed number combines a whole number and a fraction. The fraction has two parts: the numerator (number on top), here 6, which represents how many parts out of the whole; and the denominator (number below), here 11, which shows how many parts make the whole. A decimal is a way to represent numbers that are not whole, using 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, and those to the right represent the fractional part.

8 6/11 as a Decimal for US Students
Professor Greenline from BrightChamps

What is 8 6/11 as a decimal?

8 6/11 as a decimal

Answer

 

8 6/11 in decimal form can be written as 8.5454…. It is a recurring decimal, indicating it repeats the same sequence of digits infinitely.

 

Explanation

 

To convert 8 6/11 into a decimal, we separate the whole number and the fraction. The whole number is already a decimal, 8. Now, let's convert 6/11. We'll use the long division method for this:

 

Step 1: Identify the numerator and denominator. The numerator (6) is the dividend, and the denominator (11) is the divisor.

 

Step 2: As 6 is smaller than 11, we use decimals. Add 0 to the dividend, making it 60, and place a decimal point in the quotient.

 

Step 3: Divide 60 by 11. The quotient is 5, as 11 × 5 = 55. Subtract 55 from 60 to get 5.

 

Step 4: Bring down another 0 to make it 50, and divide again by 11. The quotient is 4, as 11 × 4 = 44. Subtract 44 from 50 to get 6.

 

Step 5: Repeat the process. The sequence 54 will repeat indefinitely.

 

So, the decimal for 6/11 is 0.5454…, and adding the whole number 8 gives us 8.5454….

Professor Greenline from BrightChamps

Important Glossaries for 8 6/11 as a decimal

  • Mixed Number: A number consisting of a whole number and a fraction.
     
  • Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.
     
  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
     
  • Denominator: The bottom part of a fraction, showing how many parts make up a whole.
     
  • Long Division: A standard procedure suitable for dividing simple or complex multi-digit numbers.
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 8 6/11 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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