/*! 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 43 Find percent notation. $$ 0.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 43

Find percent notation. $$ 0.75 $$

Short Answer

Expert verified
75%

Step by step solution

01

Convert Decimal to Fraction

First, express the decimal number in fraction form. The decimal 0.75 can be written as \[ \frac{75}{100}\]
02

Simplify the Fraction

Next, simplify the fraction \[ \frac{75}{100} \]. Divide both the numerator and the denominator by their greatest common divisor (GCD), which is 25. Thus, \[ \frac{75 \div 25}{100 \div 25} = \frac{3}{4} \]
03

Convert Fraction to Percent

To convert the fraction to percent, multiply by 100. Therefore, \[ \frac{3}{4} \times 100 = 75\text{%} \]

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.

Decimal to Fraction Conversion
To convert a decimal to a fraction, recognize the place value of the decimal number. Each position after the decimal point represents a power of 10. For example, in the decimal 0.75, the 7 is in the tenths place, and the 5 is in the hundredths place. This means 0.75 can be expressed as \[ \frac{75}{100} \]. Break the number down into its place values to form a fraction over a power of 10. Understanding this process helps ensure that you can quickly convert any decimal to its corresponding fraction.
Simplifying Fractions
Once you convert a decimal to a fraction, it's important to simplify it to its lowest terms. Simplifying a fraction means reducing it to its simplest form by dividing both the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD). For instance, take the fraction \[ \frac{75}{100} \]. The GCD of 75 and 100 is 25. Divide both the numerator and the denominator by 25: \[ \frac{75 \div 25}{100 \div 25} = \frac{3}{4} \]. This process ensures the fraction is in its simplest form, making it easier to work with and understand.
Converting Fractions to Percent
To convert a fraction to a percentage, multiply the fraction by 100. This is because 'percent' signifies 'per 100'. For a fraction like \[ \frac{3}{4} \], multiplying by 100 gives \[ \frac{3}{4} \times 100 = 75\% \]. When you convert fractions to percentage, you are essentially converting the fraction to an equivalent representation out of 100, making the concept of parts per hundred clear and easy to understand. Following these steps helps ensure accuracy in converting various fractions to their percent notation.

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

The Arctic sea surface freezes in the winter, but the part of it that melts in the summer is increasing. In 1979,2,780,000 square miles of the Arctic sea were still ice-covered in September. Only 1,820,000 square miles were still ice-covered in September \(2016 .\) What was the percent decrease?

Solve. Shear Delights Hair Salon borrows \(\$ 3600\) at \(4 \%\) for 30 days. Find (a) the amount of interest due and (b) the total amount that must be paid after 30 days.

A person earns $$\$ 43,200$$ one year and receives an \(8 \%\) raise in salary. What is the new salary?

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. Animal Instinct Pet Supply borrows \(\$ 6500\) at \(5 \frac{1}{4} \%\) for 90 days. Find (a) the amount of interest due and (b) the total amount that must be paid after 90 days.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

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.