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Chapter 6: Problem 8

Find percent notation. $$ \frac{9}{10} $$

Short Answer

Expert verified
90%

Step by step solution

01

Understand the fraction

The given fraction is \(\frac{9}{10}\). This is a ratio of 9 out of 10.
02

Convert the fraction to a decimal

To convert \(\frac{9}{10}\) to a decimal, divide the numerator (9) by the denominator (10). \(\frac{9}{10} = 0.9\).
03

Convert the decimal to a percentage

To convert the decimal 0.9 to a percentage, multiply by 100 and add the percent symbol (%). \(0.9 \times 100 = 90\)%. Therefore, \(\frac{9}{10} = 90\text{%}\).

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Key Concepts

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

fractions to decimals
A fraction is a way to represent a part of a whole. For this exercise, we have the fraction \( \frac{9}{10} \).
To convert this fraction into a decimal, you need to perform division.
Here's how:
\( \frac{9}{10} \) means you divide the numerator (9) by the denominator (10). After performing the division, the result is 0.9.
Remember, the denominator (10) indicates how many parts make up a whole, and the numerator (9) tells you how many of those parts we have.
In summary:
\( \frac{9}{10} = 0.9 \)
decimal to percentage conversion
Decimals and percentages are closely related. Converting between them is quite straightforward.
In our example, we have the decimal 0.9, and we must convert it into a percentage.
To convert a decimal to a percentage, multiply the decimal by 100.
So, \( 0.9 \times 100 = 90 \).
Finally, don't forget to add the percent symbol (%) to indicate it is a percentage.
Therefore, 0.9 becomes 90% when converted to a percentage.
This means 0.9 is the same as 90 out of 100, or 90%.
basic math skills
Understanding fractions, decimals, and percentages are fundamental basic math skills that you'll use in many aspects of life.
  • Fractions represent parts of a whole.
  • Decimals are another way of showing parts of a whole, just in a different form.
  • Percentages help express numbers as parts of 100.

In this exercise, we practiced converting a fraction to a decimal and then converting the decimal to a percentage.
Each step builds on the previous one: understanding fractions helps with decimals, and knowing decimals aids in converting to percentages.
These skills are not only crucial for math classes but are also useful in everyday situations like shopping, cooking, and finance.

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Most popular questions from this chapter

Solve: \(\frac{5}{8}+y=\frac{13}{16}\)

A 300-lb weight set retails for $$\$ 199.95 .$$ For its grand opening, a sporting goods store reduced the price to $$\$ 154.95 .$$ What is the percent decrease?

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Solve. A family invests \(\$ 4000\) in an account paying \(6 \%\), compounded monthly. How much is in the account after 5 months?

On a test of 80 items, Pedro got \(93 \%\) correct. (There was partial credit on some items.) How many items did he get correct? incorrect?
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