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Last updated on May 26th, 2025

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13/24 as a Decimal

Professor Greenline Explaining Math Concepts

It is a straightforward question about decimal conversion. First, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top), here 13, which indicates how many parts out of the whole, and the denominator (the number below), here 24, which shows how many parts make up the whole. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

13/24 as a Decimal for Omani Students
Professor Greenline from BrightChamps

What is 13/24 as a decimal?

 

13/24 as a decimal

Answer

 

13/24 in decimal form can be written as approximately 0.54166. This is a terminating decimal.

 

Explanation

 

To convert 13/24 to a decimal, we use division. Since 13 is smaller than 24, we use the decimal method to perform long division, which will give us approximately 0.54166. Let's go through the process step by step:

 

Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (24) as the divisor.

 

Step 2: As 13 is smaller than 24, it can't be divided directly, so we use decimals. We add 0 to the dividend, making it 130, and add a decimal point in the quotient place.

 

Step 3: Now, we divide 130 by 24. We determine how many times 24 fits into 130.

 

Step 4: 24 fits into 130 approximately 5 times (5 × 24 = 120); we write 5 in the quotient and subtract 120 from 130, leaving 10.

 

Step 5: Bring down another 0 to make it 100, and repeat the division process with 24.

 

Step 6: Continue this process until the division reaches a point where the remainder is 0, or it becomes clear the decimal will terminate.

 

The resulting decimal for 13/24 is approximately 0.54166.

Professor Greenline from BrightChamps

Important Glossaries for 13/24 as a decimal

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

 

  • Decimal: A number in the base ten system, including 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 Oman

At BrightChamps, math questions are more than numbers—they’re keys to countless opportunities! We help children across Oman develop vital skills, such as today’s focus on the 13/24 as a Decimal with special attention to decimal conversions—in a fun, lively, and simple way. Whether your child is figuring out the speed of a roller coaster at Oman’s Dreamland Aqua Park, tracking scores at a local football match, or managing their allowance for gadgets, mastering math gives them the confidence to handle everyday situations. Our lessons are designed to be both engaging and easy to follow. Because kids in Oman learn in different ways, we tailor our approach to meet each child’s needs. From the vibrant city of Muscat to Oman’s natural beauty, BrightChamps makes math relatable and exciting throughout Oman. Let’s make decimal conversions a fun part of every child’s math journey!
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