/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 69 Write as a percent. If necessary... [FREE SOLUTION] | 91影视

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Chapter 6: Problem 69

Write as a percent. If necessary, round to the nearest tenth of a percent. $$\frac{1}{3}$$

Short Answer

Expert verified
33.3%

Step by step solution

01

Identify the Fraction

The fraction given in the problem is \( \frac{1}{3} \).
02

Convert Fraction to Decimal

Now, divide the numerator by the denominator to convert the fraction into a decimal. \( \frac{1}{3} = 0.33333 \)
03

Convert Decimal to Percentage

To convert the decimal into percent, multiply it by 100. This results in 33.333 percent.
04

Round to the nearest tenth of a percent

As the next digit is 3, the tenths place stays as it is. Hence, rounding off to the nearest tenth of a percent gives 33.3 percent.

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Key Concepts

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

Understanding Fractions
Fractions are a way to represent a part of a whole. Imagine you have a pizza and you slice it into equal parts. Each part of that pizza is a fraction of the whole. The top number of a fraction is called the numerator, and it shows how many parts you have. The bottom number is called the denominator, and it tells you how many parts make up a whole. For example, in the fraction \( \frac{1}{3} \), the numerator is 1, indicating one part is taken from the total of 3 parts, which is the denominator.
  • Numerator: the top number indicating the parts you have.
  • Denominator: the bottom number showing total parts.
Understanding fractions is the first step in converting them into percentages.
Decimal Conversion Steps
Converting a fraction into a decimal requires division. You divide the numerator by the denominator to get a decimal number. For our example, \( \frac{1}{3} \) becomes 0.33333, when you divide 1 by 3. This decimal is repeating, meaning the 3s go on infinitely.
  • Divide the numerator by the denominator.
  • Result is a repeating or terminating decimal.
Decimals are crucial because they are a standard way to compare different values and convert them easily into other forms, such as percentages.
Rounding Numbers
Rounding is the process of making a number simpler while keeping its value close to what it was. When you work with decimals, particularly when converting to percentages, rounding can be necessary to simplify the number. To round numbers: - Look at the digit after the last one you want to keep. - If it's 5 or more, increase the last retained digit by one. - If it's less than 5, leave the last retained digit as is. In our example, the decimal 33.333 becomes 33.3% after rounding to the nearest tenth, because the digit to the right is 3, which doesn't require us to round up. This makes the percentage easier to read and use in practical scenarios.

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Most popular questions from this chapter

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