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Math Formulas and a Calculator

Ratios Basics

Let's Learn About Ratios with Mr. Ace Math!

Hey there, Math Aces! Welcome to an exciting lesson with Mr. Ace Math. Today, we're diving into the world of ratios. Now, ratios might sound like a big, scary word, but don't you worry. By the end of this lesson, you'll be a ratio master!

So, what exactly is a ratio? Well, think of it like this: ratios are a special way of comparing two quantities or amounts. Imagine you have a delicious pizza. You want to share it with your friend. If you cut the pizza in half and give your friend one slice while you keep the other, the ratio of slices you have to slices your friend has is 1:1. That means for every slice you have, your friend also has one. Easy peasy, right?


Now, let's talk about the three different ways we can write ratios:

  1. Using Colons ( : ): This is the simplest way to write a ratio. We just write the two quantities with a colon in between. For example, if we have 3 red apples and 5 green apples, we can write the ratio of red apples to green apples as 3:5.

  2. Using Fractions: Ratios can also be written as fractions. We put one quantity on the top (the numerator) and the other quantity on the bottom (the denominator). Using the same example of apples, the ratio of red apples to green apples written as a fraction would be 3/5.

  3. Using Words: Sometimes, instead of numbers or symbols, we can use words to describe the ratio. For instance, if we have 2 boys and 3 girls in a class, we can say the ratio of boys to girls is "two to three."


Let's do a couple of fun examples to see these in action:


Example 1: Sarah has 4 blue marbles and 6 red marbles. What is the ratio of blue marbles to red marbles?

  1. Using colons: 4:6

  2. Using fractions: 4/6 (which simplifies to 2/3)

  3. Using words: "Four to six"


Example 2: Mr. Ace Math has 8 pencils and 2 erasers on his desk. What is the ratio of pencils to erasers?

  1. Using colons: 8:2 (which simplifies to 4:1)

  2. Using fractions: 8/2 (which equals 4)

  3. Using words: "Four to one"


See how easy that was? Ratios are all about comparing quantities, and now you know three different ways to write them down. Keep practicing, and soon you'll be a ratio rockstar! If you want to learn more cool math stuff, don't forget to check out my YouTube channel, Mr. Ace Math, and visit my website, Until next time, keep crunching those numbers! ✨📏🚀

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