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Last updated on May 26th, 2025

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1 1/12 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: numerator (number on the top) and denominator (number below). A decimal is a way to represent a number that is 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, and those to the right represent the fractional part.

1 1/12 as a decimal for Qatari Students
Professor Greenline from BrightChamps

What is 1 1/12 as a decimal?

1 1/12 as a decimal

Answer

 

1 1/12 in decimal form can be written as 1.0833… It is a recurring decimal, indicating it will repeat the same digit infinitely.

 

Explanation

 

To convert 1 1/12 into a decimal, we first need to convert the fractional part 1/12 into a decimal. This can be done using the division method.

 

Step 1: Identify the numerator and denominator. Here, the numerator (1) will be taken as the dividend and the denominator (12) as the divisor.

 

Step 2: As 1 is smaller than 12, we cannot divide directly. We'll use the decimal method, adding a decimal point and zero to the dividend to make it 10.

 

Step 3: Divide 10 by 12. Since 10 is smaller than 12, add another zero to make it 100.

 

Step 4: Now divide 100 by 12. The closest multiple of 12 is 12 × 8 = 96. Place 8 in the quotient.

 

Step 5: Subtract 96 from 100 to get 4, bring down another 0 to make it 40 and repeat. The process continues, with the decimal part repeating as 0.0833...

 

Thus, the decimal representation for 1 1/12 is 1.0833…

Professor Greenline from BrightChamps

Important Glossaries for 1 1/12 as a decimal

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
     
  • Decimal: A number that uses base ten and includes a decimal point to separate the whole part from the fractional part.
     
  • Mixed Number: A combination of a whole number and a fraction.
     
  • Recurring Decimal: A decimal in which a digit or group of digits repeats infinitely.
     
  • Division: The process used to convert fractions into decimals by dividing the numerator by the denominator.
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, math questions go beyond mere calculations—they unlock endless possibilities! Our goal is to support children throughout Qatar in mastering essential skills, such as today’s focus on the 1 1/12 as a decimal with a special emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand manner. Whether your child is calculating the speed of a roller coaster at Qatar’s Angry Birds World, following scores at a local football match, or managing their allowance to buy gadgets, solid math skills boost their confidence for daily challenges. Our interactive lessons are designed to be fun and accessible. Since kids in Qatar learn in unique ways, we tailor our teaching to each child’s learning style. From Doha’s modern cityscape to its desert surroundings, BrightChamps brings math to life, making it exciting and relevant across Qatar. Let’s make decimal conversions a fun part of every child’s math journey!
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