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Last updated on May 26th, 2025

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24/22 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, 24 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 22. A decimal is a way to represent a 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 those to the right represent the fractional part.

24/22 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 24/22 as a decimal?

24/22 as a decimal

Answer

 

24/22 in decimals can be simplified to approximately 1.0909. It is a recurring decimal, showing that it will repeat the same digits infinitely.

 

Explanation

 

To get 24/22 in decimal, we will use the division method. Here as 24 is larger than 22, we can directly divide the numbers. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (24) will be taken as the dividend and the denominator (22) will be taken as the divisor.

 

Step 2: Divide 24 by 22 directly. 22 goes into 24 one time, so we write 1 in the quotient place.

 

Step 3: Subtract 22 from 24, which gives 2.

 

Step 4: Bring down a 0 in the dividend place to make it 20.

 

Step 5: 22 does not go into 20, so write 0 in the quotient and bring down another 0 to make it 200.

 

Step 6: Divide 200 by 22, which gives approximately 9, since 22 times 9 is 198.

 

Step 7: Subtract 198 from 200 to get 2, and continue the process. The division process continues with the remainder cycling through the same values, showing a recurring decimal.

 

The answer for 24/22 as a decimal will be approximately 1.0909...

Professor Greenline from BrightChamps

Important Glossaries for 24/22 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 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 24/22 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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