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Last updated on March 3rd, 2025

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15/24 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 15 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 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 15/24 as a decimal?

15/24 as a decimal

Answer

 

15/24 as a decimal can be written as 0.625. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To convert 15/24 into a decimal, we will use the division method. Here, since 15 is smaller than 24, we will take the help of the decimal method, which will give us 0.625. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (15) will be taken as the dividend and the denominator (24) will be taken as the divisor.

 

Step 2: As 15 is smaller than 24, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, making 15 as 150, and add a decimal point in the quotient place.

 

Step 3: Now that it is 150, we can divide it by 24. Let's see how many times 24 fits into 150.

 

Step 4: 24 goes into 150 six times (24 × 6 = 144). We will write 6 in the quotient place and subtract 144 from 150, which gives 6.

 

Step 5: Bring down another 0 in the dividend place, making it 60, and then repeat the division process.

 

Step 6: 24 goes into 60 two times (24 × 2 = 48). We will write 2 in the quotient place and subtract 48 from 60, which gives 12.

 

Step 7: Bring down another 0 in the dividend place, making it 120, and repeat the division.

 

Step 8: 24 goes into 120 five times (24 × 5 = 120). We will write 5 in the quotient place. The remainder is 0, indicating the division process ends.

 

The answer for 15/24 as a decimal will be 0.625.

Professor Greenline from BrightChamps

Important Glossaries for 15/24 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.
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