Demonstrate how to express ratios as fractions and rates as fractions.
Determine proportions.
Solve problems by writing proportions.
Apply ratios and proportions to solve real-life problems.
2.1 Introduction
Every day in our lives, we need to compare quantities. We use the ratio to compare every field, such as homes, businesses, sports, science, engineering, etc.
There are a few examples of the ratio.
The football team won 5 games for every 3 games lost.
The employee gets a three-monthly bonus every two years.
In simple words, we can say that ratios are another way of demonstrating fractions.
2.2 Ratios
2.2.1 Definition
The relationship between two quantities is called a ratio and is generally expressed as the quotient of one divided by the other.
Note 1: To find any ratio, do we need to ensure that the quantities are in the same unit? If not, we need to convert it by using an appropriate rule.
Note 2:We can write ratio in three different ways. like the ratio of 1 to 2 can be written as
1 is to 2 or 1: 2 or
Remember, no matter which notation we use for this ratio; it is read as “1 is to 2.”
2.2.2 Simplifying Ratio
We already learned about the simplest form of any fraction in the previous chapter.
If a fraction’s numerator ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month, and much more.
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.
Julian F.
Head of Cybersecurity
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.
Addison B.
Field Engineer
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.
Amir M.
Data Platform Tech Lead
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.
