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Last updated on March 4th, 2025

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1 1/11 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) here, 12 (1 whole and 1 as a part) represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 11. A decimal is a way to represent the 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 that to the right represents the fractional part.

1 1/11 as a Decimal for US Students
Professor Greenline from BrightChamps

What is 1 1/11 as a decimal?

1 1/11 as a decimal

 

Answer

 

1 1/11 in decimals can be written as 1.0909….. It is a recurring decimal, showing it will repeat the same set of digits infinitely.

 

Explanation

 

To get 1 1/11 in decimal, we will first convert the mixed number into an improper fraction, which is 12/11. Then we use the division method. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (12) will be taken as the dividend and the denominator (11) will be taken as the divisor.

 

Step 2: 12 divided by 11 gives us 1 with a remainder of 1. So, the whole number part is 1.

 

Step 3: Now, we will continue dividing the remaining fraction part (1/11) using decimals.

 

Step 4: Add a decimal point to the quotient and a zero to the remainder, making it 10. Divide 10 by 11.

 

Step 5: 10 is smaller than 11, so we place a 0 in the quotient and bring down another 0 to make it 100.

 

Step 6: Divide 100 by 11, which gives us 9 (since 11 × 9 = 99), with a remainder of 1.

 

Step 7: Repeat the steps, bringing down another 0 to make it 10, and the process continues. This process results in a recurring decimal.

 

The answer for 1 1/11 as a decimal will be 1.0909……

Professor Greenline from BrightChamps

Important Glossaries for 1 1/11 as a decimal

  • 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.

 

  • 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.

 

  • Recurring Decimal: A decimal in which one or more digits repeat infinitely.
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 1 1/11 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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