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Last updated on March 11th, 2025

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9 3/4 as a Decimal

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Converting a mixed number like 9 3/4 into a decimal involves understanding both fractions and decimals. A mixed number consists of a whole number and a fraction. Here, 9 is the whole number, and 3/4 is the fraction part. To convert this to a decimal, the fraction part needs to be converted first and then added to the whole number. A decimal represents a number that is not whole by using a decimal point to separate the whole part from the fractional part.

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What is 9 3/4 as a decimal?

9 3/4 as a decimal

 

Answer

 

9 3/4 in decimal form is 9.75. This is a terminating decimal, meaning it ends after a finite number of digits.

 

Explanation

To convert 9 3/4 to a decimal, follow these steps:

 

Step 1: Identify the whole number and the fraction. Here, the whole number is 9, and the fraction is 3/4.

 

Step 2: Convert the fraction 3/4 into a decimal. Divide the numerator (3) by the denominator (4).

 

Step 3: Performing the division, 3 divided by 4 gives 0.75.

 

Step 4: Add the decimal result to the whole number: 9 + 0.75 = 9.75.

 

Therefore, 9 3/4 as a decimal is 9.75.

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Important Glossaries for 9 3/4 as a decimal

  • Mixed Number: A number consisting of a whole number and a fraction. 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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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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