Lesson Menu Main Idea and New Vocabulary Example 1:Write a Ratio in Simplest Form Example 2:Use Ratios to Compare Parts to a Whole Example 3:Real-World Example: Divide Groups by Ratios

Main Idea/Vocabulary Express ratios and rates in fraction form. ratio

Example 1 Write a Ratio in Simplest Form Write the ratio in simplest form that compares the number of baseballs to the number of soccer balls. Then explain its meaning.

Example 1 There are 4 baseballs and 10 soccer balls. Write a ratio to compare 4 baseballs to 10 soccer balls. Write a Ratio in Simplest Form baseballs ___ 4 10 soccer balls Simplify the ratio. baseballs soccer balls ___ 4 10 ___ 2 5 = ÷2 The GCF of 4 and 10 is 2.

Example 1 Write a Ratio in Simplest Form Answer: The ratio of baseballs to soccer balls is 2 to 5, or 2:5. This means that for every 2 baseballs there are 5 soccer balls.

Example 1 CYP A. B. C. D. For every 5 soccer balls there are 2 baseballs. Write the ratio in simplest form that compares the number of soccer balls to the number of baseballs. Then explain its meaning.

Example 2 BOOKS Several students were asked to name their favorite kind of book. Write the ratio that compares the number of students who chose fantasy books to the total number of students. Use Ratios to Compare Parts to a Whole

Example 2 Five students chose fantasy books out of a total of or 25 responses. Simplify the ratio. Use Ratios to Compare Parts to a Whole fantasy responses ___ 5 25 total responses fantasy responses total responses ___ 5 25 ___ 1 5 = ÷5

Example 2 Use Ratios to Compare Parts to a Whole Answer:The ratio of students who chose fantasy to the total number of students is 1 to 5, or 1:5. So, one out of every 5 students chose fantasy books.

Example 2 CYP PETS A pet store sold the animals listed in the table in one week. Write the ratio that compares the number of gerbils sold to the number of birds sold. A. B. C. D.

Example 3 Divide Groups by Ratios FOOD DRIVE Robert wants to divide 35 cans of food into two groups so that the ratio is 3 to 4. Step 1Use a bar diagram. Step 2There are 7 equal sections. So, each section represents 35 ÷ 7 or 5 cans.

Example 3 Check Answer:There are 15 cans of food in the first group and 20 cans of food in the second group. Divide Groups by Ratios

Example 3 CYP SWIMMING The coach wants to divide 24 swimmers into two teams so that the ratio is 3 to 5. A.There are 15 swimmers on the first team and 9 swimmers on the second team. B.There are 9 swimmers on the first team and 18 swimmers on the second team. C.There are 6 swimmers on the first team and 18 swimmers on the second team. D.There are 9 swimmers on the first team and 15 swimmers on the second team.