1. MATH 7 Ms. Harrison September 2017
RATIOS AND UNIT RATE
MATH 7 Ms. Harrison September 2017

2. Ratios and Unit Rate What is a ratio? What is a unit?
What do we mean by Unit Rate?

3. Ratios and Rates ratio – a comparison of two numbers by division
written in several different forms.

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

5. 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

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

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

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

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

10. Ratios and Rates Give each ratio in three forms.
roses out of 24 flowers
7 to 24
7 : 24
4 dogs out of 12 animals
4 to 12
4 : 12

11. 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 = =
÷ 8
÷ 3

12. Ratios and Rates miles miles 132 miles per hour = hours hours
To express a ratio as a rate per unit, write the ratio as a fraction and then divide the numerator by the denominator.
An airplane can travel 396 miles in 3 hours. What is the rate PER hour?
miles
miles
132 miles per hour =
hours
hours

13. Ratios and Rates Try it! Find the Unit Rate 5 inches of rain in 2 days=
__ inches of rain per day
120 words in 3 minutes
words =
per minute