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Chapter 6: Problem 2

Write the ratio 3 to 5 in two other ways.

Short Answer

Expert verified
The ratio 3 to 5 can be written as \(\frac{3}{5}\) or 3:5.

Step by step solution

01

Understanding Ratios

Ratios are a way to compare two quantities, showing the relative sizes of two numbers. The given ratio is 3 to 5.
02

Write as a Fraction

One way to express the ratio 3 to 5 is as a fraction. Simply put the first number as the numerator and the second number as the denominator. This is \(\frac{3}{5}\).
03

Write with a Colon

Another common way to write ratios is by using a colon. For the ratio 3 to 5, it can be written as 3:5.

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Key Concepts

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

comparing quantities
When we talk about comparing quantities, we often use ratios. Ratios help us understand how one quantity relates to another. They show the relative size of two numbers and are essential in various fields like science, math, and daily life. For example, if you have 3 apples and 5 oranges, the ratio of apples to oranges is 3 to 5. This can tell us that for every 3 apples, there are 5 oranges.
Understanding ratios makes it easier to solve problems and communicate measurements effectively.
Let's dive deeper into how we can present these ratios.
fractions
One common way to express a ratio is through fractions. Fractions are another method of comparing parts of a whole. To write the ratio 3 to 5 as a fraction, you place the first number (3) in the numerator and the second number (5) in the denominator. This gives us the fraction \(\frac{3}{5}\).
Fractions provide a clear way to see the relationship between the two quantities. Think of it as 3 parts out of a total of 5 parts. This visual can help you understand how much one part represents in relation to the other. Practicing with fractions will enhance your overall math skills, making complex problems easier!
colon notation
Another straightforward way to indicate a ratio is by using colon notation. Here, you simply place a colon between the two numbers that form the ratio. For the ratio 3 to 5, you would write it as 3:5.
Colon notation is easy to read and is commonly used in various contexts such as recipes, maps, and diagrams. It quickly communicates the proportion between the two quantities without needing additional explanation.
By familiarizing yourself with colon notation, you can better understand and solve problems related to comparing quantities. Keep practicing, and it will soon become second nature!

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Most popular questions from this chapter

Solve the proportion. Be sure to check your answers. $$\frac{p}{12}=\frac{-25}{4}$$

Use \(=\) or \(\neq\) to make a true statement. $$\frac{-4}{7} \square \frac{12}{-21}$$

Solve the proportion. Be sure to check your answers. $$\frac{26}{30}=\frac{5 \frac{1}{5}}{x}$$

Solve the proportion. Be sure to check your answers. $$\frac{3}{40}=\frac{w}{10}$$

Yellowstone National Park in Wyoming has the largest population of free- roaming bison. To approximate the number of bison, 200 are captured and tagged and then let free to roam. Later, a sample of 120 bison is observed and 6 have tags. Approximate the population of bison in the park.
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