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Last updated on May 26th, 2025

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11/6 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), here 11, representing how many parts out of the whole; and the denominator (the number below), here 6, showing 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, and those to the right represent the fractional part.

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

What is 11/6 as a decimal?

11/6 as a decimal

 

Answer

 

11/6 in decimals can be written as 1.83333... It is a recurring decimal, indicating it will repeat the same digit infinitely.

 

Explanation

 

To get 11/6 in decimal form, we will use the division method. Since 11 is larger than 6, we can divide it directly. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator. The numerator (11) will be taken as the dividend, and the denominator (6) will be taken as the divisor.

 

Step 2: Divide 11 by 6. Since 11 is greater than 6, we can perform the division.

 

Step 3: 6 goes into 11 once. We write 1 in the quotient place and subtract 6 from 11, which gives 5. Step 4: Bring down a 0 to make it 50, then divide by 6.

 

Step 5: 6 goes into 50 eight times (6 × 8 = 48). Write 8 in the quotient, subtract 48 from 50, which gives 2.

 

Step 6: Bring down another 0 to make it 20, then divide by 6.

 

Step 7: 6 goes into 20 three times (6 × 3 = 18). Write 3 in the quotient, subtract 18 from 20, which gives 2.

 

Step 8: Repeat the process, and you'll get another 3. The division process continues, and the remainder doesn't become 0, indicating a recurring decimal.

 

The answer for 11/6 as a decimal is 1.8333...

Professor Greenline from BrightChamps

Important Glossaries for 11/6 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.

 

  • 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.
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 11/6 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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