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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 Saudi 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 Saudi Arabia

At BrightChamps, math questions are more than just sums—they unlock a world of possibilities! Our mission is to guide children across Saudi Arabia in mastering vital skills, including today’s focus on the 1 1/12 as a decimal with a special focus on decimal conversions—in a lively, enjoyable, and easy-to-understand manner. Whether your child is figuring out how fast a roller coaster moves at Riyadh’s Al Hokair Land, tracking scores at a local football match, or managing their allowance for gadgets, strong math skills boost their confidence for everyday challenges. Our interactive lessons are both fun and simple to follow. Since children in Saudi Arabia learn in many ways, we tailor our teaching to each child’s unique style. From the bustling streets of Riyadh to the historic sites of Jeddah, BrightChamps makes math come alive, making it relatable and exciting throughout Saudi Arabia. Let’s make decimal conversions a fun part of every child’s math adventure!
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