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Chapter 6: Problem 77

Write as a percent. If necessary, round to the nearest tenth of a percent. $$\frac{1}{6}$$

Short Answer

Expert verified
The fraction 1/6 as a percent, rounded to the nearest tenth, is 16.7%.

Step by step solution

01

Conversion to Decimal

First, the fraction should be converted to a decimal. This can be done by dividing the numerator by the denominator. Hence, \(1 梅 6 = 0.1667\).
02

Conversion to Percentage

After getting the decimal, it needs to be changed to a percentage. This involves multiplying the decimal by 100. Thus, \(0.1667 鉁� 100 = 16.67%\).
03

Rounding Off

The last step is to round off the percentage, if needed, as mentioned in the exercise. Hence, rounding off to the nearest tenth of a percent gives \(16.7%\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Fraction to Decimal Conversion
Understanding how to convert fractions into decimals is an essential skill in math. A fraction consists of a numerator and a denominator. The numerator is the number above the fraction line, and the denominator is below it.
To convert a fraction like \( \frac{1}{6} \) into a decimal, you simply divide the numerator (1) by the denominator (6). This operation can be daunting at first, but it becomes straightforward with practice. Performing this division yields approximately \( 0.1667 \).
  • Identify the numerator and denominator from the fraction.
  • Divide the numerator by the denominator using long division or a calculator.
  • Record the result as a decimal number.
Remember, decimals are another way to express parts of a whole, just like fractions. By mastering this conversion, you'll find it easier to move between these two representations of numbers.
Rounding Percentages
Rounding is a valuable mathematical skill that helps simplify numbers, making them easier to work with and understand. When you have a percentage, and you need to round it to the nearest tenth, it means you'll adjust it to have only one decimal place.
In our example, after converting \( \frac{1}{6} \) to a percentage, we end up with \( 16.67\% \). To round it to the nearest tenth of a percent:
  • Look at the digit in the hundredths place (second digit after the decimal point).
  • If this digit is 5 or greater, increase the digit in the tenths place by one.
Here, the hundredths digit is 7, which is greater than 5, so you round \( 16.67\% \) to \( 16.7\% \). By rounding percentages correctly, you ensure that your math work remains neat and easy to communicate.
Basic Arithmetic Operations
Arithmetic is the branch of mathematics dealing with numbers and basic operations like addition, subtraction, multiplication, and division. These operations are used daily, especially in scientific and financial calculations.
For the fraction to percentage conversion, division and multiplication are key:
  • Division: Use division to convert a fraction into a decimal by dividing the numerator by the denominator.
  • Multiplication: Convert a decimal to a percentage by multiplying it by 100.
These operations are not just for school math problems. They help people know how much of a whole they have in various situations鈥攆rom calculating discounts to understanding data in percentages. As you become more proficient with these operations, converting numbers and assessing values become much more intuitive.

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