BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation

Math Table of Contents Dropdown Table Of Contents

Creative Math Ideas Image
Live Math Learners Count Icon102 Learners

Last updated on March 27th, 2025

Math Whiteboard Illustration

13/24 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

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.

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.
BrightChamps Logo
Follow Us
BrightChamps Facebook Page IconBrightChamps YouTube Channel IconBrightChamps Instagram IconBrightChamps LinkedIn Page Icon
INDONESIA
Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA
H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE
60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA
251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1)
Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2)
143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai
BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK
Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom