/*! 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 19 Write as a fraction and as a dec... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 19

Write as a fraction and as a decimal. $$28 \%$$

Short Answer

Expert verified
As a fraction, 28 percent is \( \frac{7}{25} \) and as a decimal, it is 0.28.

Step by step solution

01

Convert to Fraction

To convert a percentage to a fraction, put the percentage number as the numerator (top number) and put the quantity it's out of as the denominator (bottom number). In this case, 28 percent would be expressed fractionally as \( \frac{28}{100} \). However, this can be simplified by dividing both the top and bottom by the greatest common divisor, so \( \frac{28}{100} \) simplifies to \( \frac{7}{25} \).
02

Convert to Decimal

Converting a percentage to a decimal involves dividing the percentage by 100. In this specific scenario, 28 percent is expressed as a decimal by dividing 28 by 100, which equals to 0.28.

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.

Fraction Conversion: Understanding the Basics
Converting a percentage into a fraction is a fundamental math skill that you can master with practice. When dealing with percentages, remember these are just fractions with a denominator of 100. So, you can visualize percentages as parts of a hundred. To convert a percentage like 28% into a fraction, simply take the percentage number and write it over 100, resulting in \( \frac{28}{100} \).

This fraction can often be simplified by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD is the largest number that evenly divides both numbers. In this case, both 28 and 100 can be divided by 4, resulting in a simplified fraction of \( \frac{7}{25} \).
  • Start by converting percentages to fractions by putting them over 100.
  • Simplify your fraction by dividing the top and bottom by the GCD.
  • The simplified fraction \( \frac{7}{25} \) is easier to work with!
Decimal Conversion: From Percentages to Decimals
Turning percentages into decimals is a straightforward process once you understand the relationship between percentages and decimals. A percentage, such as 28%, can be directly transformed into a decimal by dividing it by 100.

This is because percentages are based on a whole that is divided into 100 parts. So, converting 28% means you are actually finding out how many parts out of 100 are taken, which translates into \( 0.28 \) as a decimal. This makes it easy to manage numbers in calculations, like in multiplication or division, where decimals are often required.
  • Remember to divide the percentage by 100 to transition to a decimal.
  • Write out the decimal with a point, like \( 0.28 \).
  • This method helps in further numerical operations and is easy to understand!
Simplifying Fractions: Easier Ways to Work with Numbers
Simplifying fractions is the practice of expressing a fraction in its simplest form. A fraction is simplified when the top and bottom numbers are as small as possible while still maintaining the same value. You achieve this by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing each by this number.

Taking our earlier example, we simplified \( \frac{28}{100} \) by identifying that the GCD is 4. Dividing both 28 and 100 by 4 led to the simplified fraction \( \frac{7}{25} \). Simplifying fractions not only makes calculations simpler but also gives you a clearer understanding of the fraction's true value. Remember the steps:
  • Identify the GCD of the numerator and the denominator.
  • Divide both numbers by the GCD to simplify.
  • Keep practicing to become proficient at finding the simplest form immediately!

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

Each of three employees earned an annual salary of 45,000 dollar before Employce A was given a \(3 \%\) raise, Employee B was given a \(6 \%\) raise, and Employee C was given a \(4.5 \%\) raise. Which of the three employees now has the highest annual salary? Explain how you arrived at your answer.

A pre-election survey showed that 2 out of every 3 eligible voters would cast ballots in the county election. There are \(240,000\) eligible voters in the county. How many people are expected to vote in the election?

Solve. Use the proportion method. What is \(87.4 \%\) of \(225 ?\)

The number of email messages sent each day has risen to 171 billion, of which \(71 \%\) are spam. (Source: FeedsFarm.com) How many email messages sent per day are not spam?

In a recent year, wind machines in the United States generated 17.8 billion kilowatt-hours of electricity, enough to serve over 1.6 million households. The nation's total electricity production that year was 4450 billion kilowatt- hours. (Source: Energy Information Administration) What percent of the total energy production was generated by wind machines?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Decision Maths

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.