11 1/2 as a Decimal

Answer

11 1/2 in decimals can be written as 11.5. This is a terminating decimal, showing that it does not repeat the same digit infinitely.

Explanation

To get 11 1/2 in decimal, we will convert the mixed number into an improper fraction and then use division. The mixed number 11 1/2 is equal to 23/2. Let's see the step-by-step breakdown of the process:

Step 1: Convert the mixed number to an improper fraction. 11 1/2 becomes 23/2.

Step 2: Identify the numerator and denominator because the numerator (23) will be taken as the dividend and the denominator (2) will be taken as the divisor.

Step 3: Divide 23 by 2. The process is straightforward as 23 is larger than 2.

Step 4: Perform the division: 23 ÷ 2 = 11 with a remainder of 1.

Step 5: Add a decimal point and bring down a 0, making it 10. Divide 10 by 2 to get 5. The division results in a terminating decimal.

The answer for 11 1/2 as a decimal is 11.5.

• 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.