Let’s understand how to find the ratio of two numbers. Whether you’re just starting with math or already dealing with bigger stuff, knowing how to find the ratio of two numbers is super useful. In this guide, we’ll keep it simple – different ways to do it, lots of examples, and where you see this ratio thing outside of math.
Find the Ratio of Two Numbers
There can be multiple ways to find the ratio of two numbers. Let’s check out.
Also Read: How to find the percent of two numbers
Basics of Ratios
Before we delve into the methods, let’s get a solid grasp on what ratios are all about. A ratio, simply put, is a way of comparing two things, expressed as “a to b.” This comparison serves as the foundation for making sense of sizes, proportions, and the relationship between different quantities, not only in the realm of mathematics but also in practical, real-world scenarios.
Method 1: Simplest Form
Simplifying a ratio to its simplest form is a smart move. Here’s an in-depth breakdown of the process:
Identify the Numbers:
Consider a ratio with two numbers, denoted as a and b.
Find the Common Ground:
Determine the Greatest Common Divisor (GCD) of a and b – the biggest number they both agree on.
Slim It Down:
Divide both numbers by the GCD to simplify the ratio.
Example:
Let’s consider the ratio 18 to 24. The GCD of 18 and 24 is 6. Slimming it down, we get 18/6 ÷ 24/6 = 3/4.
Extra Example:
Now, let’s find the simplest form of 15 to 20. The GCD of 15 and 20 is 5. Slim it down: 15/5 ÷ 20/5 = 3/4.
By understanding the GCD and simplifying ratios, you’re essentially breaking down complex relationships into more manageable and understandable terms.
Method 2: Colon Notation
Expressing ratios using colons is another effective method. Let’s take a closer look:
Example:
Express the ratio of 5 to 8 as 5:8.
Extra Example:
Now, represent the ratio of 12 to 18 in colon notation: 12:18.
Colon notation simplifies the representation of ratios, making them easily interpretable and applicable in various contexts.
Method 3: Cross-Multiplication
Cross-multiplication is a perfect step for finding missing terms in ratios. Let’s dissect it:
Example:
Find the ratio of “3 over x” equals “5 over 9” using cross-multiplication. Multiply 3 by 9 and 5 by x. Solve for x.
Extra Example:
Determine the ratio of “a over 7” equals “4 over 14” using cross-multiplication.
This method not only solves unknowns in ratios but also serves as a bridge to understanding proportions, reinforcing the interconnectedness of mathematical concepts.
Real-World Application
Understanding ratios isn’t confined to the classroom; it extends into practical, everyday scenarios. Let’s explore a real-world application:
Scenario:
Imagine you’re following a recipe that calls for a ratio of 2 cups of flour to 3 cups of sugar. This ratio means for every 2 cups of flour, you need 3 cups of sugar. It’s not just about math – it’s about making decisions in everyday life.
Extra Insight:
Ratios play a crucial role in various fields. In finance, they help analyze financial statements and assess the performance of businesses. In science, ratios are used to make sense of experiments and analyze data. They’re like the hidden heroes of many real-life situations.
Also Read: How to find the percent of two numbers via coding
Conclusion
So, finding the ratio of two numbers isn’t just math homework. It’s about understanding things around you. Whether you’re making ratios simpler, using colons, or doing cross-multiplication, these are just tools to make sense of numbers. Real-life stuff shows that ratios are everywhere, helping you make decisions, even in everyday stuff like cooking. So, don’t just see them as numbers on paper – see them as your helpers in figuring out the world.
Keep it simple, keep it fun!
