What is the decimal equivalent of 2 1/4%?

• A. 0.0225
• B. 0.025
• C. 0.015
• D. 0.02

Answer: (A)

To convert the percentage of 2 1/4% into its decimal equivalent, you start by first converting the mixed number into an improper fraction. The fraction 1/4 means one quarter, so we can express 2 1/4 as follows:

1. Identify the whole number and fraction components: 2 + 1/4.

2. Convert the whole number into a fraction: 2 is equivalent to 8/4.

3. Now combine the two parts: 8/4 + 1/4 = 9/4.

Next, to express 9/4 as a percentage, we first divide 9 by 4, which equals 2.25. Since we want this in decimal form, we can convert the percentage to a decimal by dividing by 100. Therefore, we take the decimal value of 2.25 and divide it by 100:

2.25 ÷ 100 = 0.0225.

This calculation shows that the decimal equivalent of 2 1/4% is 0.0225, aligning with the first choice provided. Understanding the conversion from a percentage to a decimal involves recalling that percentages are essentially parts per hundred and performing the necessary arithmetic