/*! 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 11 Find percent notation. $$ \f... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 11

Find percent notation. $$ \frac{7}{8} $$

Short Answer

Expert verified
87.5%

Step by step solution

01

Convert the Fraction to a Decimal

To convert \(\frac{7}{8}\) to a decimal, perform the division \(\frac{7}{8} = 7 \div 8\). This equals 0.875.
02

Convert the Decimal to Percent

To convert a decimal to a percentage, multiply the decimal by 100. So, 0.875 \times 100 = 87.5.Hence, the fraction \(\frac{7}{8}\) as a percent is 87.5%.

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.

fractions to decimals
Fractions and decimals are two ways to represent values that are less than one. Converting a fraction to a decimal involves simple division of the numerator (top number) by the denominator (bottom number). For example, to convert \(\frac{7}{8}\) to a decimal, you perform the division 7 梅 8. This will give you the decimal 0.875.

Here is the step-by-step process:
  • Write down the fraction: \(\frac{7}{8}\).
  • Divide the numerator by the denominator: 7 梅 8.
  • The result is 0.875.
Now you have converted the fraction \(\frac{7}{8}\) into a decimal: 0.875. Understanding this concept is crucial as it builds a foundation for other mathematical operations such as converting decimals to percentages.
converting decimals to percentages
Converting decimals to percentages is a very common operation, especially in data analysis and statistics. Percentages make it easier to understand and compare ratios. To convert a decimal to a percentage, simply multiply the decimal by 100. For example, if you have the decimal 0.875, multiplying it by 100 will give you a percentage: 0.875 * 100 = 87.5.

Here is how you can do it:
  • Start with your decimal, for example, 0.875.
  • Multiply it by 100: 0.875 * 100.
  • The result is 87.5, which means 87.5%.
Multiplying by 100 shifts the decimal point two places to the right, converting the fraction portion of the number into a whole number percentage. This technique is essential for interpreting data more intuitively and making it easier to communicate numerical values.
basic arithmetic
Basic arithmetic includes the fundamental operations like addition, subtraction, multiplication, and division. These operations are the backbone of all further mathematical computations. When performing more complex operations, correct execution of basic arithmetic is key.

For example, converting the fraction \(\frac{7}{8}\) to a decimal involves division, one of the basic operations. To convert the resulting decimal to a percentage, you perform multiplication.

Some quick tips:
  • Always keep the order of operations in mind (often remembered by PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).
  • Check your work by reversing the operation (e.g., if you convert a fraction to a decimal and then to a percentage, try converting it back).
  • Use estimated results to verify your calculations when suitable.
Mastery of these basic operations ensures accuracy in any mathematical task, from simple homework problems to complex scientific computations.

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

Solve. California Sales Tax. The sales tax rate in California is \(7.25 \%\). How much sales tax is charged on a purchase of 4 contour foam travel pillows at \(\$ 39.95\) each? What is the total price?

Solve. The sales tax rate in Nashville, Tennessee, is \(2.25 \%\) for Davidson County plus \(7 \%\) for the state. Find the total amount paid for 2 ladders at \(\$ 39\) each.

During a sale, a dress decreased in price from $$\$ 90$$ to $$\$ 72$$. What was the percent decrease?

Solve. The sales tax is \(\$ 30\) on the purchase of a diamond ring that sells for \(\$ 750\). What is the sales tax rate?

Given normal use, an Americanmade car will depreciate \(25 \%\) of its original cost in the first year and \(14 \%\) of its remaining value in the second year. What is the value of a car at the end of the second year if its original cost was $$\$ 36,400 ?$$ $$\$ 28,400 ?$$ $$\$ 26,800 ?$$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Statistics

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.