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Chapter 4: Problem 18

Find decimal notation. \(\frac{181}{200}\)

Short Answer

Expert verified
0.905.

Step by step solution

01

Understand the Problem

The task is to convert the fraction \(\frac{181}{200}\) into its decimal form.
02

Division

Perform the division of the numerator by the denominator: 181 divided by 200.
03

Calculation

181 divided by 200 equals 0.905 in decimal form. Therefore, \(\frac{181}{200} = 0.905\)

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

fraction to decimal
Converting a fraction to a decimal is a useful skill in mathematics. A fraction consists of a numerator and a denominator, which are two essential parts. The numerator is the top number, telling you how many parts you have. The denominator is the bottom number, telling you into how many equal parts the whole is divided. To convert a fraction like \(\frac{181}{200}\) into a decimal, you need to perform a division. Simply divide the numerator (181) by the denominator (200). This operation transforms the fraction into its decimal equivalent, which in this case is 0.905. Understanding this process helps in quickly converting many fractions to decimals in your studies.
division
Division is a fundamental mathematical operation. In the context of converting fractions to decimals, dividing the numerator by the denominator is key. To find the decimal form of \(\frac{181}{200}\), you perform the division of 181 by 200. You can do this using long division or a calculator. If you do it manually:
  • Set up 181 divided by 200.
  • Determine how many times 200 goes into 181. It doesn't, so we go to 1810 by adding a decimal point and a zero.
  • 200 goes into 1810 nine times (200*9 = 1800).
  • Subtract 1800 from 1810, leaving 10.
  • Bring down another zero to make 100.
  • 200 goes into 1000 five times (200*5 = 1000), so subtract. Nothing is left, ending the division.
This process confirms that 181 divided by 200 equals 0.905. Mastering division makes working with fractions and decimals much easier.
numerator and denominator
Understanding the terms 'numerator' and 'denominator' is crucial for fraction-related problems. The numerator is the top number of a fraction and represents how many parts you have. The denominator is the bottom number, indicating the total number of equal parts into which the whole is divided.

In the fraction \(\frac{181}{200}\), 181 is the numerator and 200 is the denominator. When converting this to a decimal, you divide the numerator by the denominator. This approach is the foundation for many math problems involving fractions. Recognizing the roles of the numerator and denominator allows you to break down and solve problems more efficiently and accurately.

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Most popular questions from this chapter

Normal body temperature is \(98.6^{\circ} \mathrm{F}\). The lowest body temperature at which a patient has survived is \(69^{\circ} \mathrm{F}\). How many degrees below normal is this?

Estimate by rounding as directed. $$ \begin{aligned} &2.678-0.445\\\ &\text { nearest tenth } \end{aligned} $$

Subtract. $$ \begin{array}{r} 44.345 \\ -\quad 3.105 \\ \hline \end{array} $$

Lot A measures \(250.1 \mathrm{ft}\) by \(302.7 \mathrm{ft}\). Lot B measures \(389.4 \mathrm{ft}\) by \(566.2 \mathrm{ft}\). What is the total area of the two lots?

Add. $$ 65.987+9.4703+6744.02+1.0003+200.895 $$
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