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Chapter 0: Problem 13

For exercises \(13-24\), rewrite the fraction as a decimal number. $$ \frac{4}{5} $$

Short Answer

Expert verified
0.8

Step by step solution

01

Understanding the Problem

The task is to rewrite the fraction \(\frac{4}{5}\) as a decimal number.
02

Dividing the Numerator by the Denominator

To convert the fraction \(\frac{4}{5}\) to a decimal, divide 4 by 5.
03

Performing the Division

Perform the division \(\frac{4}{5} = 0.8\).

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Key Concepts

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

Division
Division is the process of finding out how many times one number, called the divisor, is contained within another number, called the dividend.
It's like sharing a whole into equal parts.
To convert a fraction to a decimal, you perform division.
For example, to convert the fraction \(\frac{4}{5}\rightarrow0.8 \).
Here, 4 is the dividend and 5 is the divisor.
Numerator
The numerator is the top number in a fraction. It tells you how many parts of the whole you are considering.
In the fraction \(\frac{4}{5}\rightarrow4\), the numerator is 4.
Think of it as the part you're focusing on.
When converting a fraction to a decimal, the numerator is the number you will divide by the denominator.
Denominator
The denominator is the bottom number in a fraction.
It shows the total number of equal parts the whole is divided into.
In \(\frac{4}{5}\rightarrow5\), the denominator is 5.
This means the whole is divided into 5 equal parts.
When converting to a decimal, the denominator is the number you divide into the numerator.
Performing Division
To convert the fraction \(\frac{4}{5}\rightarrow0.8\):
Follow these steps:
1. Set up your division: Place the numerator (4) inside the division box and the denominator (5) outside.
2. Ask how many times the denominator fits into the numerator.
3. In this case, 5 fits into 4 can be seen through 0.8 times.
4. Write your answer: 0.8 is the decimal form of \(\frac{4}{5}\).
Breaking it down makes division simpler!

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Most popular questions from this chapter

$$ \text { Find } 125 \% \text { of } 45 . $$

For exercises 1-12, rewrite the decimal number as a fraction. Simplify the fraction to lowest terms. $$ 0.85 $$

$$ \text { Find } 6 \% \text { of } 21 $$

For exercises 115-118, evaluate. On a scientific calculator, use the fraction key. For graphing calculators, use the Frac command to rewrite the decimal answer as a fraction. $$ \left(\frac{5}{34}\right)\left(\frac{8}{21}\right) $$

For exercises \(85-108\), write \(>\) or \(<\) between the numbers to make a true statement. $$ \frac{5}{8} \quad \frac{2}{3} $$
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