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111 LearnersLast updated on March 17th, 2025
11 1/2 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, numerator (number on the top) here, 23 (11 × 2 + 1 = 23) represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 2. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.
What is 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.
Important Glossaries for 11 1/2 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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