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Last updated on May 26th, 2025

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10 5/6 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (the number on the top), here 5 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 6. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

10 5/6 as a Decimal for Canadian Students
Professor Greenline from BrightChamps

What is 10 5/6 as a decimal?

10 5/6 as a decimal

Answer

 

10 5/6 in decimals can be written as 10.8333…. It is a recurring decimal, indicating it will repeat the same digit infinitely.

 

Explanation

 

To convert 10 5/6 to a decimal, we will first convert the fraction 5/6 to a decimal using the division method.

 

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (6) will be taken as the divisor.

 

Step 2: As 5 is smaller than 6, it can't be divided entirely, so we will add 0 to the dividend, making it 50, and add a decimal point in the quotient place.

 

Step 3: Now, divide 50 by 6. Let's see how many times 6 fits into 50.

 

Step 4: 50 is not a multiple of 6, so we will look for the nearest number, which is 6 × 8 = 48. We will write 8 in the quotient place and subtract 48 from 50, giving 2.

 

Step 5: Bring down another 0 in the dividend place, making it 20, and repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

 

To find the decimal for 10 5/6, add the whole number 10 to the decimal 0.8333, resulting in 10.8333....

Professor Greenline from BrightChamps

Important Glossaries for 10 5/6 as a decimal

  • Mixed Number: A whole number combined with a fraction, representing a value greater than a whole number.
     
  • Fraction: A numerical quantity that is not a whole number, 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 that has one or more repeating digits after the decimal point that continue indefinitely.
     
  • Long Division: A method used in arithmetic to divide large numbers by breaking down the division process into a series of easier steps.
Professor Greenline from BrightChamps

About BrightChamps in Canada

At BrightChamps, math questions are more than just calculations—they’re pathways to new possibilities! We aim to help children all over Canada build key skills, such as today’s focus on the 10 5/6 as a Decimal with an emphasis on decimal conversions—taught in an engaging, fun, and clear manner. Whether your child is figuring out how fast a roller coaster moves at Canada’s Wonderland, keeping score during a hockey game, or managing their allowance for gadgets, strong math skills give them confidence for everyday situations. Our engaging lessons are designed to be easy and enjoyable. Since children in Canada learn in diverse ways, we customize our teaching to match their needs. From the vibrant streets of Toronto to the stunning scenery of British Columbia, BrightChamps makes math come alive, making it exciting and relevant across Canada. Let’s turn decimal conversions into a fun part of every child’s math experience!
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