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Last updated on May 26th, 2025

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11 1/8 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 of the whole. It has two parts: numerator (number on the top) and denominator (number below). In mixed numbers like 11 1/8, the whole number is 11, the numerator is 1, and the denominator is 8. A decimal is a way to represent a number that is not whole, using a (.) 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.

11 1/8 as a Decimal for UAE Students
Professor Greenline from BrightChamps

What is 11 1/8 as a decimal?

 

11 1/8 as a decimal

Answer

 

11 1/8 in decimals can be written as 11.125. It is a terminating decimal, meaning it ends after a finite number of digits.

 

Explanation

 

To convert 11 1/8 to a decimal, we first convert the fractional part (1/8) to a decimal. We will use the division method.

 

Step 1: Identify the numerator and the denominator. The numerator (1) will be taken as the dividend and the denominator (8) will be taken as the divisor.

 

Step 2: Divide 1 by 8. Since 1 is smaller than 8, we will add a decimal point to the quotient and a 0 to the dividend, making it 10.

 

Step 3: Divide 10 by 8. 8 goes into 10 once, so we write 1 in the quotient place and subtract 8 from 10, giving us a remainder of 2.

 

Step 4: Bring down another 0, making it 20. Divide 20 by 8. 8 goes into 20 two times, so we write 2 in the quotient and subtract 16 from 20, resulting in a remainder of 4.

 

Step 5: Bring down another 0, making it 40. Divide 40 by 8. 8 goes into 40 exactly five times, so we write 5 in the quotient and have a remainder of 0. Thus, 1/8 as a decimal is 0.125.

 

Adding this to the whole number 11, we get 11.125 as the decimal representation of 11 1/8.

Professor Greenline from BrightChamps

Important Glossaries for 11 1/8 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.

 

  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
Professor Greenline from BrightChamps

About BrightChamps in United Arab Emirates

At BrightChamps, math questions are much more than numbers—they open doors to countless opportunities! We aim to help children across the UAE develop essential skills like today’s focus on the 11 1/8 as a Decimal, with a special emphasis on decimal conversions—in a way that’s fun, lively, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Dubai Parks and Resorts, keeping track of scores at a local football match, or managing their allowance for the latest gadgets, solid math skills give them the confidence to tackle everyday situations. Our lessons are designed to be interactive and enjoyable. Since children in the UAE learn differently, we customize our teaching to match each child’s style. From the towering skyscrapers of Dubai to the cultural richness of Abu Dhabi, BrightChamps brings math to life, making it exciting and relevant across the UAE. Let’s make decimal conversions a fun part of every child’s math journey!
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