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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 Australian 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 Australia

At BrightChamps, math questions are more than just exercises—they’re opportunities to grow and explore! Our mission is to help children across Australia develop important skills, including today’s focus on the 11 1/8 as a Decimal with special attention on decimal conversions—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the latest gadgets, strong math skills give them confidence for daily challenges. Our lessons are interactive and designed to be enjoyable. Since kids in Australia learn in various ways, we customize our teaching to meet their individual styles. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life, making it relatable and exciting throughout Australia. Let’s make decimal conversions a fun part of every child’s math journey!
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