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Last updated on March 3rd, 2025

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5/24 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 a whole. It has two parts: the numerator (number on the top) here, 5 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 24. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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.

5/24 as a Decimal for US Students
Professor Greenline from BrightChamps

What is 5/24 as a decimal?

5/24 as a decimal

Answer

 

5/24 in decimal form can be written as approximately 0.2083. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To get 5/24 in decimal form, we will use the division method. Since 5 is smaller than 24, we will use the decimal method, which will give us approximately 0.2083. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (24) as the divisor.

 

Step 2: As 5 is smaller than 24, it can't be divided directly, so we will use decimals. We will add 0 to the dividend, making it 50, and add a decimal point in the quotient place

 

Step 3: Now that it is 50, we divide it by 24. 24 goes into 50 twice (24 × 2 = 48), subtract 48 from 50 to get 2.

 

Step 4: Bring down another 0, making it 20. 24 goes into 20 zero times, so we bring down another 0, making it 200.

 

Step 5: 24 goes into 200 eight times (24 × 8 = 192), subtract 192 from 200 to get 8.

 

Step 6: Bring down another 0, making it 80. 24 goes into 80 three times (24 × 3 = 72), subtract 72 from 80 to get 8. The division process stops here as we can see the decimal is 0.2083.

 

The answer for 5/24 as a decimal is approximately 0.2083.

Professor Greenline from BrightChamps

Important Glossaries for 5/24 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 States

At BrightChamps, we believe math questions are more than just problems—they’re keys that unlock a world of possibilities! Our goal is to support children across the United States in mastering crucial skills, such as today’s focus on the 5/24 as a Decimal with an emphasis on understanding decimal conversions—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, having solid math skills builds their confidence for everyday life. Our hands-on lessons make learning approachable and enjoyable. Since children in the USA learn in unique ways, we customize our teaching to suit each child’s learning style. From the lively streets of New York to the sunny coasts of California, BrightChamps brings math to life, making it interesting and relevant across America. Let’s make decimal conversions an exciting part of every child’s math adventure!
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