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100 LearnersLast updated on March 18th, 2025
13 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, the numerator (number on the top) here, 27 represents how many parts out of the whole since 13 1/2 is the same as 27/2. The denominator (number below) shows how many parts make the whole, here it is 2. 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 13 1/2 as a decimal?
Answer
13 1/2 in decimals can be written as 13.5. It is a terminating decimal, indicating that it ends and does not repeat.
Explanation
To convert 13 1/2 into a decimal, we will first convert the mixed number into an improper fraction and then perform the division. Let's see the step-by-step breakdown of the process:
Step 1: Convert the mixed number 13 1/2 into an improper fraction. Multiply the whole number 13 by the denominator 2 and add the numerator 1. This gives us (13 × 2) + 1 = 27, so the improper fraction is 27/2.
Step 2: Now, divide the numerator 27 by the denominator 2.
Step 3: 27 divided by 2 gives 13 with a remainder of 1, so we write 13.5 as the quotient.
The division process results in a terminating decimal, so the answer for 13 1/2 as a decimal is 13.5.
Important Glossaries for 13 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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