Over Lesson 6–1 A. A B. B C. C D. D Express the ratio as a fraction in simplest form. 10 tulips to 18 daﬀodils Express the ratio as a fraction in simplest form. 400 cans to 5 boxes A school cafeteria has 16 tables and 144 chairs. Express the ratio of tables to chairs as a fraction in simplest form.

Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction

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$Page 1: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

Over Lesson 6–1

A. A

B. B

C. C

D. D

Express the ratio as a fraction in simplest form.10 tulips to 18 daffodils

Express the ratio as a fraction in simplest form.400 cans to 5 boxes

A school cafeteria has 16 tables and 144 chairs. Express the ratio of tables to chairs as a fraction in simplest form.

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$Page 2: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

$Page 3: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

You have already learned how to write ratios. (Lesson 6–1)

• Find unit rates.

• Compare and use unit rates to solve problems.

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$Page 4: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

• rate

• unit rate

A comparison of two measurements having different units (examples: , )

A rate that is simplified so that it has a denominator of 1 (examples: , )

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$Page 5: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

Find Unit Rates

A. Express $10 for 8 cans of soup as a unit rate. Round to the nearest tenth, if necessary.

÷8

Divide the numerator and denominator by 8.

Answer: The cost per can is $1.25.

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$Page 6: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

Find Unit Rates

B. Express 187 miles in 7 days as a unit rate. Round to the nearest tenth, if necessary.

÷7

Divide the numerator and denominator by 7.

Answer: 26.7 miles per day

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$Page 7: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

A. A

B. B

C. C

D. D

A. $3.11 per gallon

B. 3.11 gallons per dollar

C. $3.22 per gallon

D. 3.22 gallons per dollar

A. Express $38.64 for 12 gallons of gasoline as a unit rate.

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$Page 8: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

A. A

B. B

C. C

D. D

A. 23 hours per mile

B. 23 miles per hour

C. 44 hours per mile

D. 44 miles per hour

B. Express 220 miles in 5 hours as a unit rate.

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$Page 9: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

Compare Unit Rates

SHOPPING A 12-oz bottle of cleaner costs $4.50. A 16-oz bottle of cleaner costs $6.56. Which costs less per ounce?

Find and compare the unit rates of the bottles.

For the 12-oz bottle, the unit rate is $0.38 per ounce.

÷12

Divide the numerator and denominator by 12 to get a denominator of 1.

≈

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$Page 10: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

Compare Unit Rates

Divide the numerator and denominator by 16 to get a denominator of 1.

For the 16-oz bottle, the unit rate is $0.41 per ounce.

Answer: The 12-oz bottle has the lower cost per ounce.

÷16

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$Page 11: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

A. A

B. B

C. C

D. D

A. The 12-pack costs less per can.

B. The 6-pack costs less per can.

C. Both packs cost the same per can.

D. Cannot be determined from the given information.

SHOPPING A 6-pack of a soft drink costs $1.50. A 12-pack of a soft drink costs $2.76. Which pack costs less per can?

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$Page 12: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

Use Unit Rates

ANIMALS A snail moved 5 feet in 2 hours. How many feet will the snail move in 5 hours?

Step 1 Find the unit rate.

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$Page 13: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

Use Unit Rates

Step 2 Multiply this unit rate by 5 to find the number of feet a snail will move in 5 hours

Divide out common units

Answer: A snail will move 12.5 ft in 5 hours.

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$Page 14: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

A. A

B. B

C. C

D. D

JOGGING Dave jogs 2 miles in 22 minutes. How many feet per second is this?

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$Page 15: Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction$

$“Ratios and Proportions”. Ratio Ratio—compares two quantities in a fraction form with one number over another number. Proportion Proportion—two equal$

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