/*! 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 47 Convert the given decimal to a m... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 47

Convert the given decimal to a mixed fraction. Do not simplify your answer. 560.453

Short Answer

Expert verified
560 \( \frac{453}{1000} \)

Step by step solution

01

Identify Whole Number and Decimal Part

Start by separating the whole number from the decimal. For 560.453, the whole number is 560 and the decimal part is 0.453.
02

Convert Decimal to Fraction

Take the decimal part 0.453 and convert it to a fraction. Since there are three decimal places, place it over 1000 to become \( \frac{453}{1000} \).
03

Form the Mixed Fraction

Combine the whole number with the fraction obtained. The mixed fraction is 560 \( \frac{453}{1000} \).

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.

mixed fractions
A mixed fraction, often called a mixed number, combines a whole number with a fractional part. This form allows us to express numbers that are not whole, in a more practical and understandable way.
For instance, when we see a number like 560.453, we can separate it into two parts:
  • The 'whole number', which is 560 in this case.
  • The 'fractional part', which is the decimal that comes after the whole number鈥�0.453.
Using our understanding of mixed fractions, we write this as a combination of a whole number and a fraction. This is how 560.453 becomes 560 \( \frac{453}{1000} \). This mixed fraction represents the exact same value as the decimal, but uses a more traditional numerical format.
decimal numbers
Decimal numbers represent fractions in a linear and straightforward way. They are a crucial aspect of our daily number system, known as the base-10 system. These numbers are composed of whole numbers and a fractional part that follows the decimal point.
For example, the number 560.453 represents:
  • 560, which is the whole number part.
  • 0.453, the fractional part.
The digits after the decimal point each have decreasing fractional values:
  • The first digit after the decimal represents tenths.
  • The second digit represents hundredths.
  • The third digit represents thousandths, and so on.
Understanding each position helps in converting the decimal part into a fraction easily.
fraction conversion
Fraction conversion involves changing a number from one form to another, such as from a decimal to a fraction. This process helps to provide clarity in mathematical operations. To convert a decimal to a fraction:
  • Identify the place value of the last digit in the decimal. For 0.453, this is the thousandths place.
  • Convert the decimal to a fraction by taking the numerator as the digits of the decimal without the point (453 in this case) and the denominator as \(10^n\), where \(n\) is the number of decimal places (1000 here).
So, 0.453 becomes \( \frac{453}{1000} \). Fraction conversion is complete without simplifying, as instructed in some problems. Mastering this conversion is essential for dealing with both exact numbers and scale-based calculations.

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

Add or subtract the decimals, as indicated. \(3.57-84.21\)

Simplify the given expression by first converting the decimal into a fraction. \(\frac{4}{3}-2.6\)

In Exercises 1-20, convert the given fraction to a terminating decimal. \(\frac{59}{16}\)

Convert the given fraction to a repeating decimal. Use the "repeating bar鈥� notation. \(\frac{532}{21}\)

Divide the decimals. \(\frac{-2.025}{-0.75}\)
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Pure 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.