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Understanding how to convert a fraction to a percentage is an essential math skill. Percentages are a way to express fractions out of 100. To convert a fraction to a percentage, we use a simple process. Let's start by looking at the fraction given in the exercise: \( \frac{1}{6} \, \).

First, divide the numerator by the denominator. Here, you divide 1 by 6. This division yields a decimal result: \(0.1667\) (which is a repeating decimal).

Next, to change this decimal into a percent, you multiply by 100. Therefore, \(0.1667 \times 100 = 16.67\). This means that \( \frac{1}{6} \) as a percentage is approximately 16.67\%.

Remember that converting fractions to percentages helps in comparing proportions more easily. Keep practicing different fractions to become comfortable with this conversion!

Converting decimals to percentages is quite straightforward and helps to better understand and compare values.

When you have a decimal, like the one we obtained from the fraction conversion above, it’s essential to express it as a percentage. For example, in the exercise, we got \(0.1667\).

To convert this decimal to a percentage, simply multiply by 100. Always remember multiplying by 100 shifts the decimal point two places to the right.

Here’s how it works:

• Take the decimal: \(0.1667\)
• Multiply by 100: \(0.1667 \times 100\)
• Result: \(16.67\)

So, \(0.1667\) becomes 16.67\%

This conversion allows us to interpret and understand numerical data in everyday life better. Practice converting different decimals to percentages to strengthen this essential skill!

Breaking down a problem into clear, manageable steps makes solving math problems easier. In the given exercise, we followed a straightforward process to convert a fraction into a percentage.

Let’s recap the steps more deeply:

• Step 1: Understand the Fraction - Start with the given fraction \( \frac{1}{6} \).
• Step 2: Convert to Decimal - Divide the numerator (1) by the denominator (6) to get \(0.1667\).
• Step 3: Convert to Percentage - Multiply the decimal \(0.1667\) by 100 to get \(16.67\%\).

Each of these steps is crucial in ensuring you find the correct answer. Breaking them down makes the process systematic and less daunting.

Mathematical instructions often require interpreting each step precisely. Always take your time to understand each part before moving to the next. This practice will enhance your problem-solving skills and make complex problems simpler to tackle!