/*! 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 13 Find percent notation. $$ \f... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 13

Find percent notation. $$ \frac{4}{5} $$

Short Answer

Expert verified
80%

Step by step solution

01

Understand the Fraction

The given fraction is \(\frac{4}{5}\). To convert this fraction to percent notation, we start by understanding that a percent is a fraction out of 100.
02

Convert Fraction to a Decimal

Divide the numerator by the denominator to find the decimal equivalent. \[ \frac{4}{5} = 0.8 \]
03

Convert Decimal to Percent

To convert the decimal to a percentage, multiply it by 100. \[ 0.8 \times 100 = 80 \]
04

Write the Percent Notation

Finally, add the percent sign (%) to your result. This makes \(\frac{4}{5}\) equal to 80%.

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 to Decimal Conversion
To convert a fraction to a decimal, you simply divide the numerator (the top number) by the denominator (the bottom number). For example, with the fraction \(\frac{4}{5}\), divide 4 by 5. This gives us 0.8.
This method works for any fraction. Just remember:
  • Numerator 梅 Denominator = Decimal
  • Your answer may be a whole number or a number with digits after the decimal point.
Once you have this decimal form, you're one step closer to finding the percent notation! This foundational skill is essential for many math problems you'll face.
Decimal to Percent Conversion
After you've converted a fraction to a decimal, the next step is to convert that decimal to percent. To do this, multiply the decimal by 100. Let's take our previous example where we have the decimal 0.8.
\[ 0.8 \times 100 = 80 \]
So, 0.8 becomes 80.
Finally, add the percent sign (%) to your result. Therefore, 0.8 is 80%.
Here's a quick reminder:
  • Decimal x 100 = Percent
  • Don't forget to add the % sign at the end!
This conversion helps you express proportions in an easy-to-understand way.
Converting Fractions
Understanding how to convert fractions into other forms is essential. You often need fractions in decimals or percent forms to solve real-world problems.
Here鈥檚 a step-by-step guide to convert fractions effectively:
  • **Step 1:** Convert the fraction to a decimal. Divide the numerator by the denominator.
  • **Step 2:** Once you have the decimal form, multiply by 100 to get the percentage.
  • **Step 3:** Add the percent sign (%) to denote that the number is a percent.
For example, for \(\frac{4}{5}\):
\[ \frac{4}{5} = 0.8 \]
Convert 0.8 to a percentage by multiplying by 100:
\[ 0.8 \times 100 = 80 \]
So, \(\frac{4}{5}\) as a percent is 80%.
Simple concepts, when thoroughly understood, make complex problems easier to tackle!

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

A monthly mortgage payment increases from $$\$ 840$$ to $$\$ 882 .$$ What is the percent increase?

A car generally depreciates \(25 \%\) of its original value in the first year. A car is worth \(\$ 27,300\) after the first year. What was its original cost?

Convert to decimal notation. \(\frac{11}{25}\)

Solve. Mia's Boutique borrows \(\$ 10,000\) at \(9 \%\) for 60 days. Find (a) the amount of interest due and (b) the total amount that must be paid after 60 days.

A person earns $$\$ 28,600$$ one year and receives a \(5 \%\) raise in salary. What is the new salary?
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Calculus

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.