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106 LearnersLast updated on March 13th, 2025
2 1/2% as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn percentages and decimals. A percentage represents a part out of 100. It is often used to compare proportions. A decimal is a way to represent a number that is not whole, using a decimal point (.) 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 2 1/2% as a decimal?
Answer
2 1/2% as a decimal can be written as 0.025.
Explanation
To convert 2 1/2% to a decimal, follow these steps:
Step 1: Convert the mixed number to an improper fraction. 2 1/2 can be written as 5/2.
Step 2: Convert the percentage to a fraction. Since 2 1/2% is a percentage, it is equivalent to \(\frac{5}{2} \times \frac{1}{100}\).
Step 3: Simplify the fraction. \(\frac{5}{2} \times \frac{1}{100} = \frac{5}{200}\).
Step 4: Divide the numerator by the denominator to convert the fraction to a decimal. \(\frac{5}{200} = 0.025\).
The answer for 2 1/2% as a decimal is 0.025.
Important Glossaries for 2 1/2% as a decimal
- Percentage: A way to express a number as a part of 100.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Mixed Number: A number consisting of an integer and a proper fraction.
- Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
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