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Understanding Ratios: A Simple Guide to Comparing Numbers

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This chapter delves into the concept of ratios, explaining how to compare two numbers using division. Ratios can be represented in multiple ways, such as in simplest form. Through various examples, such as comparing sharks to fish or boys to girls, the guide illustrates how to find ratios and their applications in solving problems. Learn to apply ratios in real-life scenarios, such as determining the number of boys and girls in a class or the total number of animals in a shelter. Master the art of ratios today!

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Understanding Ratios: A Simple Guide to Comparing Numbers

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  1. Ratios Chapter 4.1 B

  2. What is a Ratio? A comparison of two numbers using DIVISION! 2 sharks out of 5 fish Can be written 4 different ways: 2 5 2 : 5 2 to 5 2 out of 5 Just make sure it is in SIMPLEST form!!!

  3. Lets try some… 3 sailboats to 6 motor boats 3 6 1 2 ÷ 3 = 1 to 2 1 out of 2 1 : 2

  4. Here’s another… 6 blue jays to 18 cardinals 6 18 1 3 ÷ 6 = 1 to 3 1 out of 3 1 : 3

  5. What about THIS one??? There are 10 boys and 12 girls, find the ratio of boys to the total amount of kids. 10 22 5 11 ÷ 2 = 5 to 11 5 out of 11 5 : 11

  6. Make sure to read word problems!!! In the St. Lucie West band there are 15 trumpets and 9 trombones. Find the ratio of trombones to trumpets. The story says trombones FIRST!!! 9 15 3 5 ÷ 3 = 3 to 5 3 out of 5 3 : 5

  7. You can use ratios to find total amounts too… There are 21 students in class. If the ratio of Boys to Girls is 3:4, what is the actual number of Boys & Girls? 2nd Now that you know 7 goes into 21 3 times MULTIPLY both numbers by 3! 1st Since the ratio is 3 to 4 that equals 7 students, notice anything about 7 and 21? 3rd 3 x 3 = 9 and 4 x 3 = 12 so there are 9 boys & 12 girls …this should ADD up to 21!!!

  8. Try this one by yourself There are 55 animals at the shelter. If the ratio of dogs to cats is 2 to 3, how many dogs & cats are there? 2nd Now that you know 5 goes into 55 11 times, MULTIPLY both numbers by 11! 1st Since the ratio is 2 to 3 that equals 5 animals, notice anything about 5 and 55? 3rd2 x 11 = 22 and 3 x 11 = 33 so there are 22 dogs & 33 cats …this should ADD up to 55!!!

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