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103 LearnersLast updated on March 11th, 2025
2 1/4% 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 written with a percent sign (%). A decimal is a way to represent the number that is not whole, using a (.) or 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 1/4% as a decimal?
Answer:
2 1/4% in decimals can be written as 0.0225.
Explanation:
To convert 2 1/4% to a decimal, we first convert the mixed number percentage to a fraction and then to a decimal.
Step 1: Convert 2 1/4 to an improper fraction. 2 1/4 = (2 × 4 + 1)/4 = 9/4
Step 2: Convert the fraction to a percentage. Since 9/4% means 9/4 out of 100, we write it as (9/4) × (1/100) = 9/400.
Step 3: Divide to convert the fraction to a decimal. 9 ÷ 400 = 0.0225 Therefore, 2 1/4% as a decimal is 0.0225.
Important Glossaries for 2 1/4% as a decimal
- Percentage: A numerical value or ratio expressed as a fraction 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 whole number and a fraction combined into one "mixed" number.
- Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.
- Conversion: The process of changing a number from one form to another, such as from a percentage to a decimal.
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