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116 LearnersLast updated on March 3rd, 2025
9/12 as a Decimal
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: the numerator (number on the top), here 9, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 12. 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.
What is 9/12 as a decimal?
Answer
9/12 in decimals can be simplified and written as 0.75. It is a terminating decimal, indicating that it does not repeat.
Explanation
To convert 9/12 to a decimal, we can simplify the fraction first and then use division. The fraction 9/12 simplifies to 3/4. Let's see the step-by-step breakdown of the process:
Step 1: Simplify the fraction. Divide both the numerator (9) and the denominator (12) by their greatest common divisor, which is 3. This gives us 3/4.
Step 2: Identify the simplified numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (4) will be taken as the divisor.
Step 3: Divide 3 by 4. Since 3 is smaller than 4, we use the decimal method, which will give us 0.75.
Step 4: Perform the division: 3 divided by 4 equals 0.75 exactly. The division process ends with a remainder of 0, indicating a terminating decimal.
The answer for 9/12 as a decimal is 0.75.
Important Glossaries for 9/12 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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