What is a Ratio?
A **ratio** is a comparison of two numbers. It tells you how much of one thing there is compared to another. For example, if we have 2 red circles and 3 blue circles, the ratio of red to blue is 2 to 3.
You can write a ratio in a few ways:
- Using the word "to": **2 to 3**
- Using a colon: **2:3**
- As a fraction: **2/3**
The order is important! A ratio of 2:3 is not the same as a ratio of 3:2.
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Video: Ratios Explained!
Watch this video to see how to use ratios and proportions in a fun way! 🎥
Simplifying Ratios
Just like fractions, ratios can be **simplified** to their lowest terms. We do this by dividing both numbers by their greatest common factor (GCF). Try to simplify these ratios!
1) 12:18
2) 20:25
3) 6:15
4) 30:10
Solving for an Unknown Proportion
A **proportion** is when two ratios are equal. Use cross-multiplication to solve for the missing number ($x$).
1) $${\frac{2}{5}} = {\frac{x}{10}}$$
2) $${\frac{3}{4}} = {\frac{9}{x}}$$
3) $${\frac{x}{8}} = {\frac{6}{16}}$$
4) $${\frac{1}{x}} = {\frac{5}{25}}$$
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