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.

• 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.