/*! 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 75 Write as a percent. If necessary... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 75

Write as a percent. If necessary, round to the nearest tenth of a percent. $$2 \frac{1}{2}$$

Short Answer

Expert verified
The mixed fraction \(2 \frac{1}{2}\) is equivalent to \(250\%\) as a percentage.

Step by step solution

01

Convert the Mixed Fraction to a Decimal

First thing to do is to convert the mixed fraction \(2 \frac{1}{2}\) to a decimal. This is done by dividing the fraction part \(\frac{1}{2}\) which is equal to 0.5. Then add the whole number 2 to it. So \(2 \frac{1}{2}\) is equivalent to \(2.5\).
02

Convert the Decimal to a Percentage

Now, to convert a decimal to a percentage, you simply multiply the decimal by 100. Therefore, \(2.5 * 100 = 250\).
03

Write as a Percentage

Finally, write your answer as a percentage. Therefore, the decimal \(2.5\) is equivalent to \(250\%\) as a percentage.

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 Mixed Fractions
A mixed fraction, also known as a mixed number, combines a whole number and a fraction. Let's take a closer look at how it works using the example of \(2 \frac{1}{2}\). Here, **2** is the whole number and **\(\frac{1}{2}\)** is the fraction. Mixed fractions are often used in everyday life, like when measuring ingredients or dividing objects. To use them in mathematical calculations, they often need to be converted into improper fractions or decimals. Converting mixed fractions helps simplify calculations and is crucial for operations such as addition, subtraction, or percent conversion. We start by working on the fraction part and turning it into a decimal.
The Basics of Decimals
Decimals are another way to represent fractions. They use place value to show parts of a whole. In our example, we converted \(\frac{1}{2}\) into a decimal. This conversion involves division, where \(1\) is divided by \(2\) to get \(0.5\).
  • Decimals are convenient for precise calculations and easy to compare with each other.
  • They are commonly used in finance, measurements, and science.
When you work with decimals, it's important to remember that each place to the right of the decimal point represents a fraction: tenths, hundredths, thousandths, and so on. In our example, \(2.5\) is understood as \(2\) plus \(\frac{5}{10}\). Next, this understanding guides us on moving towards percent conversion.
Exploring Percentages
Percentages express how many parts there are out of 100, making comparisons intuitive. To convert our decimal \(2.5\) into a percentage, we multiply it by 100, resulting in 250%. The word "percent" literally means "per hundred," so to find the percentage value, you adjust the decimal to reflect this:
  • \(2.5 \times 100 = 250\)%
  • This operation essentially shifts the decimal point two places to the right.
Percentages are universally understood and often used in statistics, sales, and analysis of change, like interest rates or discounts. They help deliver clear insights and easy comparisons by setting a common scale.
Role of Mathematics Education
Mathematics education encompasses understanding concepts like mixed fractions, decimals, and percentages. It integrates these elements to build mathematical fluency among learners. Many educational curriculums emphasize these areas to ensure holistic learning.
  • Strong understanding of these concepts leads to better problem-solving skills.
  • It's essential to teach conversion methods, such as moving between fraction, decimal, and percentage formats.
Good mathematics education encourages logical reasoning, analytical thinking, and practical use of math in real-life scenarios. It鈥檚 not just about knowing the processes but understanding how and why they work, which empowers students to apply math confidently.

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

Walking \(5 \mathrm{mi}\) in \(2 \mathrm{h}\) will burn 650 calories. Walking at the same rate, how many miles would a person need to walk to lose 1 lb? (The burning of 3500 calories is equivalent to the loss of 1 lb.) Round to the nearest hundredth.

During the 2010 baseball season, Johan Santana gave up 66 earned runs and pitched 199 innings for the New York Mets. To calculate Johan Santana's ERA, let \(x=\) the number of earned runs for every nine innings pitched. Then write a proportion and solve it for \(x\). $$\begin{aligned}\frac{66 \text { earned runs }}{199 \text { innings }} &=\frac{x}{9 \text { innings }} \\ 66 \cdot 9 &=199 \cdot x \\\594 &=199 x \\\\\frac{594}{199} &=\frac{199 x}{199} \\\2.98 & \approx x\end{aligned}$$ During the 2008 baseball season, Roy Halladay of the Toronto Blue Jays pitched 246 innings and gave up 76 earned runs. During the 2009 season, he gave up 74 earned runs and pitched 239 innings. During which season was Halladay's ERA lower? How much lower?

a.Write a proportion in which the product of the means and the product of the extremes is 60 b. Using different numbers than you used in part (a), write another proportion in which the product of the means and the product of the extremes is \(60 .\)

Solve. Use the proportion method. What percent of 150 is \(33 ?\)

A computer manufacturer finds an average of 3 defective hard drives in every 100 drives manufactured. How many defective drives are expected to be found in the production of 1200 hard drives?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

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.