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.

• 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.