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110 LearnersLast updated on March 11th, 2025
9 3/4 as a Decimal
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.
What is 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.
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.
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.
Fun Fact
: She loves to read number jokes and games.
