3 1/2% as a Decimal

Answer:

3 1/2% as a decimal can be written as 0.035.

Explanation:

To convert 3 1/2% to a decimal, we first convert the mixed number to an improper fraction. 3 1/2 is equivalent to 7/2. Then, to convert this percentage to a decimal, divide the fraction by 100, since percent means per hundred. Let's break it down step by step:

Step 1: Convert the mixed number to an improper fraction. 3 1/2 = 7/2.

Step 2: Convert the percentage to a fraction over 100. So, (7/2)% = (7/2) / 100.

Step 3: Simplify (7/2) / 100 to 7/200.

Step 4: Divide 7 by 200 to convert the fraction to a decimal.

Step 5: 7 ÷ 200 = 0.035. Thus, 3 1/2% as a decimal is 0.035.

• Percentage: A fraction or ratio expressed as part of 100.

• Decimal: A number format that uses a base of 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.

• Fraction: A numerical quantity representing a part of a whole.