Use the ALEKS calculator to write 3/53 as a percentage. Round your answer to the nearest tenth of a percent.

1. Break Down the Problem

To convert the fraction $\frac{3}{53}$ into a percentage, we will follow these steps:

1. Divide 3 by 53 to get a decimal.
2. Multiply the decimal by 100 to convert it into a percentage.
3. Round the percentage to the nearest tenth.

2. Relevant Concepts

The formulas we will use are:

• Decimal Form: $\text{Decimal} = \frac{3}{53}$
• Percentage: $\text{Percentage} = \text{Decimal} \times 100$

3. Analysis and Detail

1. Calculate the decimal value: $\text{Decimal} = \frac{3}{53} \approx 0.0566$
2. Convert to percentage: $\text{Percentage} = 0.0566 \times 100 \approx 5.66$
3. Round to the nearest tenth:
   • The tenths place is 6, and the next digit (hundredths place) is 6, so we round up.
   • Thus, $5.66$ rounds to $5.7$.

4. Verify and Summarize

By going through the steps:

• We calculated the decimal form correctly.
• The conversion to percentage was accurately performed and rounded appropriately.

Final Answer

The fraction $\frac{3}{53}$ as a percentage, rounded to the nearest tenth, is $5.7\%$.