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Last updated on March 3rd, 2025

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9/24 as a Decimal

Professor Greenline Explaining Math Concepts
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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 from the whole. It has two parts: numerator (the number on the top) here, 9 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 24. A decimal is a way to represent the 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 9/24 as a decimal?

9/24 as a decimal

Answer

 

9/24 in decimal form can be written as 0.375.

 

Explanation

 

To convert 9/24 into a decimal, we use the division method. Since 9 is smaller than 24, we will use the decimal method to perform the division, which will give us 0.375. Let's break down the process step-by-step:

 

Step 1: Identify the numerator and denominator. The numerator (9) will be the dividend and the denominator (24) will be the divisor.

 

Step 2: Since 9 is smaller than 24, we can't divide it directly. We will add a decimal point in the quotient and add zeros to the dividend.

 

Step 3: Now, consider 90 (by adding a zero) divided by 24. Determine how many times 24 fits into 90.

 

Step 4: 24 goes into 90 three times (3 × 24 = 72). Place 3 in the quotient, subtract 72 from 90 to get 18.

 

Step 5: Bring down another 0, making it 180.

 

Step 6: 24 goes into 180 seven times (7 × 24 = 168). Place 7 in the quotient, subtract 168 from 180 to get 12.

 

Step 7: Bring down another 0, making it 120.

 

Step 8: 24 goes into 120 five times (5 × 24 = 120), giving no remainder.

 

Thus, 9/24 as a decimal is 0.375.

Professor Greenline from BrightChamps

Important Glossaries for 9/24 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, with a decimal point separating 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 representation that ends and does not repeat infinitely.
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