1. Ratios and Rates

2. ratio – a comparison of two numbers by division written in several different forms.

3. Ratios and Rates rate – a ratio that compares different kinds of units by division to obtain a unit rate or rate per unit.

4. Ratios and Rates The order of the numbers in a ratio should match the order of the words in a ratio. apples to oranges 2 to 3

5. Ratios and Rates Ratios can be written in several different ways. 3 to 1 3 : 1 3/13/1 red to white

6. Ratios and Rates Ratios can show comparisons between: part to part red to green 1 to 2 green to red 2 to 1

7. Ratios and Rates Ratios can show comparisons between: part to whole red to whole 1 to 3 green to whole 2 to 3

8. Ratios and Rates Ratios can show comparisons between: whole to part whole to red 3 to 1 whole to green 3 to 2

9. Ratios and Rates Compare octagon to all shapes 1 to 8 1 out of 8 1 : 8 1/81/8

10. Ratios and Rates Compare all shapes to trapezoid 8 to 18 : 1 8/18/1

11. Ratios and Rates Compare pentagons to hexagons 2 to 32 : 32 : 3 2/32/3

12. Ratios and Rates Give each ratio in three forms. 8 roses out of 24 flowers 8 to 248 : 24 3 dogs out of 12 animals 3 to 123 : 12

13. Ratios and Rates A ratio in fraction form can be expressed in simplest form by dividing the numerator and denominator by a common factor. ÷ 8 = ÷ 3 =

14. Ratios and Rates To express a ratio as a rate per unit, write the ratio as a fraction and then divide the numerator by the denominator. 395 miles in 5 hours = 79 miles per hour miles hours miles hours

15. Ratios and Rates Express each ratio as a rate. 5 inches of rain in 30 days = inch of rain per day 120 words in 3 minutes = 40 words per minute words per minute ÷ 5