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Last updated on August 5, 2025

9/24 as a Decimal

Professor Greenline Explaining Math Concepts
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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