1. Equivalent Ratios

2. Write each rate as a fraction. Then find its unit rate.
Use Unit Rates
Determine if 20 rolls for $5 and 48 rolls for $12 are equivalent rates. Explain your reasoning.
Write each rate as a fraction. Then find its unit rate. ÷5
÷12 =
20 rolls $5
__________
4 rolls $1
_________ =
__________
48 rolls
$12
4 rolls $1
_________ ÷5
÷12
Answer: Since the rates have the same unit rate, , they are equivalent.
4 rolls $1
_______
Example 1

3. A. Yes; they have the same unit rate, .
Determine if $24 for 4 hours and $30 for 6 hours are equivalent rates. Explain your reasoning.
A. Yes; they have the same unit rate,
B. Yes; they have the same unit rate,
C. Yes; they have the same unit rate,
D. No; they do not have the same unit rate.
Example 1 CYP

4. Write each rate as a fraction. Then find its unit rate.
Use Unit Rates
Determine if 42 people on 7 teams and 64 people on 8 teams are equivalent rates. Explain your reasoning.
Write each rate as a fraction. Then find its unit rate. ÷7 ÷8 =
____________
42 people
7 teams
___________
6 people
1 team =
____________
64 people
8 teams
___________
8 people
1 team ÷7 ÷8
Answer: Since the rates do not have the same unit rate, they are not equivalent.
Example 2

5. A. Yes; they have the same unit rate,
Determine if 90 miles in 2 hours and 135 miles in 3 hours are equivalent rates. Explain your reasoning.
A. Yes; they have the same unit rate,
B. Yes; they have the same unit rate,
C. Yes; they have the same unit rate,
D. No; they do not have the same unit rate.
Example 2 CYP

6. Write each rate as a fraction. Then find its unit rate.
Use Unit Rates
FOOD You can buy 3 medium pizzas at The Pizza Place for $18 or 5 medium pizzas for $30. Are these selling rates equivalent? Explain your reasoning.
Write each rate as a fraction. Then find its unit rate. ÷3 ÷5 =
__________
$18
3 pizzas
_________ $6
1 pizza =
__________
$30
5 pizzas
_________ $6
1 pizza ÷3 ÷5
Example 3

7. Answer: Since the unit rates are the same, , the rates are equivalent.
Use Unit Rates
Answer: Since the unit rates are the same, , the rates are equivalent.
_______ $6
1 pizza
Example 3

8. CARWASHING On Saturday, the tennis team washed 42 cars in 3 hours to raise money for the team. On Sunday, they washed 60 cars in 5 hours. Are these work rates equivalent? Explain your reasoning.
A. Yes; since the unit rates are the same, the rates are equivalent.
B. Yes; since the unit rates are the same, the rates are equivalent.
C. Yes; since the unit rates are the same, the rates are equivalent.
D. No; since the unit rates are not the same, the rates are not equivalent.
Example 3 CYP

9. Use Equivalent Fractions
Determine if 5 laps swum in 8 minutes and 11 laps swum in 16 minutes are equivalent rates. Explain your reasoning.
Write each rate as a fraction.
×2.2 =
____________
5 laps
8 minutes
___________
11 laps
16 minutes ? ×2
The numerator and the denominator are not multiplied by the same number. So, the fractions are not equivalent.
Example 4

10. Use Equivalent Fractions
Answer: Since the fractions are not equivalent, the rates are not equivalent.
Example 4

11. Determine if 4 free throws made out of 6 attempts and 8 free throws made out of 12 attempts are equivalent ratios.
A. No; since is not a unit rate, the ratios are not equivalent.
B. Yes; since the ratios are equivalent.
C. Yes; since the fractions are equivalent.
D. No; since the fractions are not equivalent, the ratios are not equivalent.
Example 4 CYP

12. Use Equivalent Fractions
Determine if 8 corrals with 56 horses and 4 corrals with 28 horses are equivalent ratios. Explain your reasoning.
Write each ratio as a fraction. ÷2 =
____________
8 corrals
56 horses
___________
4 corrals
28 horses ? ÷2
Example 5

13. Use Equivalent Fractions
The numerator and the denominator are divided by the same number. So, the fractions are equivalent.
Answer: Since the fractions are equivalent, the ratios are equivalent.
Example 5

14. A. Yes; since the ratios are equivalent.
Determine if 15 boys out of 36 students and 5 boys out of 9 students are equivalent ratios.
A. Yes; since the ratios are equivalent.
B. Yes; since the fractions are equivalent.
C. No; since is not a unit rate, the ratios are not equivalent.
D. No; since the ratios are not equivalent.
Example 5 CYP