/*! 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 40 Change the percent to a decimal.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Problem 40

Change the percent to a decimal. $$16 \frac{1}{4} \%$$

Short Answer

Expert verified
0.1625

Step by step solution

01

Convert the Fraction to a Decimal

First, convert the fractional part of the percentage to a decimal. For \(\frac{1}{4}\), divide 1 by 4 to get 0.25.
02

Combine the Whole Number and the Decimal

Next, combine the whole number part (16) and the decimal part (0.25) to get 16.25.
03

Convert the Percentage to a Decimal

To change the percentage to a decimal, divide by 100. For 16.25%, calculate \(\frac{16.25}{100}\) to get 0.1625.

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
Understanding how to convert fractions to decimals is crucial for many mathematical calculations. A fraction like \(\frac{1}{4}\) can be transformed into a decimal by dividing the numerator (1) by the denominator (4). This operation results in 0.25. Let's break down the steps for converting any fraction to a decimal:
  • Identify the numerator (top number) and denominator (bottom number) of the fraction.
  • Perform the division: numerator divided by the denominator.
  • The result of this division is the decimal equivalent of the fraction.
Practicing converting fractions to decimals will significantly improve your math skills.
Percentage Calculation
Percentages are another essential concept in mathematics. They represent a part of a whole out of 100. To convert a percentage to a decimal, you can use a simple method鈥攄ivide by 100. For example, to convert 16.25% to a decimal, perform the following operation: \(\frac{16.25}{100}\). Here are the steps explained:
  • Write down the percentage you want to convert.
  • Divide it by 100.
  • The result is the decimal form of that percentage.
Practice converting percentages to decimals to make calculations easier and faster.
Basic Arithmetic
Basic arithmetic includes fundamental operations like addition, subtraction, multiplication, and division. These operations are essential for more complex math problems. In the exercise provided, we used division to convert a fraction to a decimal, which is one of the basic arithmetic skills. Here's a brief overview of the basic arithmetic operations:
  • Addition: Combining two or more numbers to get a sum. Example: 2 + 3 = 5.
  • Subtraction: Taking one number away from another to get the difference. Example: 5 - 3 = 2.
  • Multiplication: Repeated addition of the same number. Example: 4 脳 3 = 12.
  • Division: Splitting a number into equal parts. Example: 6 梅 2 = 3.
Mastering these basic operations will help you tackle a wide range of mathematical problems.

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

Convert the fraction to a percent. $$1 \frac{3}{4}$$

Solve the problem using a percent equation. \(23 \%\) of what number is \(34.5 ?\)

Brian has been saving money to buy a 61-in. Samsung Projection HDTV. He has saved \(\$ 1440\) so far, but this is only \(60 \%\) of the total cost of the television. What is the total cost?

If a bank compounds interest quarterly for 2 years, how many total compounding periods are there?

During a weak economy, milk prices increased during a 1 -year period. The average price in 2008 was \(\$ 3.90 .\) If this value is \(126 \%\) of the price from 2007 , determine the price in 2007 . Round to two decimal places. (Source: U.S. Department of Agriculture)
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

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.