/*! 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 10 For the following problems, conv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 10

For the following problems, convert each fraction to a percent. $$ \frac{7}{27} $$

Short Answer

Expert verified
Answer: The fraction 7/27 is approximately equal to 25.9%.

Step by step solution

01

Convert Fraction to Decimal

To convert the fraction \(\frac{7}{27}\) to a decimal, divide the numerator (7) by the denominator (27). This can be written as: $$ \frac{7}{27} = 7 \div 27 $$ Perform the division to obtain the decimal: $$ 7 \div 27 \approx 0.259 $$ So, \(\frac{7}{27}\) is approximately equal to \(0.259\) as a decimal.
02

Convert Decimal to Percent

Now, we will convert the decimal 0.259 to a percent. To do this, multiply the decimal by 100 and add the percent sign (%): $$ 0.259 \times 100 = 25.9\% $$ Thus, the fraction \(\frac{7}{27}\) is approximately equal to \(25.9\%\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Understanding Fractions
Fractions are a way of expressing numbers that are not whole. They provide a way to represent any number between whole numbers, and they consist of a numerator and a denominator. The numerator is the top number, showing how many parts of the whole we have. The denominator is the bottom number, showing the total number of equal parts the whole is divided into.
For example, in the fraction \( \frac{7}{27} \), 7 is the numerator and 27 is the denominator. This fraction tells us that we have 7 parts of a whole that is divided into 27 equal parts.
  • The larger the denominator, the smaller each part is.
  • If the numerator is equal to the denominator, the fraction is equal to 1, or a whole.
  • If the numerator is less than the denominator, the fraction is less than 1.
Converting Fractions to Decimals
To convert a fraction into a decimal, we simply divide the numerator by the denominator. This division gives us a decimal equivalent of the fraction, which is often easier to interpret in situations involving money, measurements, or percentages.
For our example, let's convert \( \frac{7}{27} \) to a decimal. We perform the division: \( 7 \div 27 \), which approximately equals 0.259. Here are the steps for conversion:
  • Take the numerator (7) and divide it by the denominator (27).
  • Perform the division using long division or a calculator.
  • The result is a decimal number, approximately 0.259 in this case.
Using a calculator can make this process quicker and more accurate, especially for fractions with large numbers.
Understanding and Converting to Percentages
Percentages are a way of expressing numbers as parts of 100. They are commonly used to describe proportions, such as discounts or grades. To convert a decimal into a percentage, we simply multiply the decimal by 100. This shifts the decimal point two places to the right and adds a percent sign (%).
In our earlier example, we converted \( 0.259 \) to a percentage by multiplying it by 100, resulting in 25.9%. Here are the steps:
  • Take the decimal form of the number, like 0.259.
  • Multiply the decimal by 100.
  • Add the percent sign to the result.
  • So, \( 0.259 \times 100 = 25.9\% \).
This method of converting decimals to percentages is very useful when you want to understand how a part of anything compares to the whole, expressed as a fraction of 100.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

For the following problems, convert each fraction to a percent. $$ \frac{5}{16} $$

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{14}{4}\)

For the following problems, perform each indicated operation. \(\frac{5}{9} \div \frac{5}{6}\)

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{32}{28}\)

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{39}{13}\)
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.