Questions: Convert 3 2/8 into a decimal and a percent.

Transcript text: Convert 3 2/8 into a decimal and a percent.

Solution

Solution Steps

To convert the mixed number \(3 \frac{2}{8}\) into a decimal, first convert the fraction \(\frac{2}{8}\) to its decimal form and then add it to the whole number 3. To convert the decimal to a percent, multiply the decimal by 100.

Step 1: Convert the Fraction to Decimal

The fraction \( \frac{2}{8} \) can be simplified to \( \frac{1}{4} \), which is equal to \( 0.25 \).

Step 2: Add the Whole Number

Adding the whole number part, we have: \[ 3 + 0.25 = 3.25 \]

Step 3: Convert Decimal to Percent

To convert the decimal \( 3.25 \) to a percent, we multiply by \( 100 \): \[ 3.25 \times 100 = 325.0\% \]

Final Answer

The decimal representation of \( 3 \frac{2}{8} \) is \( 3.25 \) and the percent representation is \( 325.0\% \). Thus, the answer is: \[ \boxed{3.25 \text{ and } 325.0\%} \]

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