Main Idea

Example 1:Use Unit Rates

Example 2:Use Unit Rates

Example 3:Use Unit Rates

Example 4:Use Equivalent Fractions

Example 5:Use Equivalent Fractions

• Determine if two ratios are equivalent.

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.

=20 rolls$5

__________ 4 rolls$1

_________ =__________48 rolls$12

4 rolls$1

_________

Answer: Since the rates have the same unit

rate,

, they are equivalent.

4 rolls$1

_______

÷5

÷5 ÷12

÷12

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.

Determine if $24 for 4 hours and $30 for 6 hours are equivalent rates. Explain your reasoning.

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.

Use Unit Rates

=____________42 people7 teams

___________6 people1 team

=____________64 people8 teams

___________8 people1 team

Answer: Since the rates do not have the same unitrate, they are not equivalent.

÷7 ÷8

÷7 ÷8

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.

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.

Use Unit Rates

=__________$183 pizzas

_________$61 pizza

=__________$305 pizzas

_________$61 pizza

÷3

÷3

÷5

÷5

Use Unit Rates

Answer: Since the unit rates are the same,

,

the rates are equivalent.

_______$61 pizza

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.

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.

The numerator and the denominator are not multiplied by the same number. So, the fractions are not equivalent.

Use Equivalent Fractions

=____________5 laps8 minutes

___________11 laps16 minutes

?

×2

×2.2

Answer: Since the fractions are not equivalent, therates are not equivalent.

Use Equivalent Fractions

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.

Determine if 4 free throws made out of 6 attempts and 8 free throws made out of 12 attempts are equivalent ratios.

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.

=____________8 corrals56 horses

___________4 corrals28 horses

?

÷2

÷2

Use Equivalent Fractions

Answer: Since the fractions are equivalent, theratios are equivalent.

The numerator and the denominator are divided by the same number. So, the fractions are equivalent.

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.

Determine if 15 boys out of 36 students and 5 boys out of 9 students are equivalent ratios.