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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 UK 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 United Kingdom

At BrightChamps, we see math questions as more than just sums—they’re gateways to endless opportunities! Our mission is to help children throughout the United Kingdom develop essential skills, focusing today on the 24/22 as a Decimal with special attention to decimal conversions—in a lively, enjoyable, and easy-to-understand way. Whether your child is working out the speed of a roller coaster at Alton Towers, following scores at a local football match, or managing their pocket money to buy the latest gadgets, mastering math empowers them to face daily challenges confidently. Our interactive sessions ensure learning is both simple and enjoyable. Because every child in the UK has their own learning style, we tailor our approach to fit them perfectly. From the bustling streets of London to the scenic coasts of Cornwall, BrightChamps makes math relatable and fun throughout the UK. Let’s make decimal conversions a delightful part of your child’s math journey!
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