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Last updated on August 5, 2025

2 1/4% as a Decimal

Professor Greenline Explaining Math Concepts

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.

2 1/4% as a Decimal for US Students
Professor Greenline from BrightChamps

What is 2 1/4% as a decimal?

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.

Professor Greenline from BrightChamps

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.

 

 

  • Conversion: The process of changing a number from one form to another, such as from a percentage to a decimal.
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