Fractional Units Lesson 2

A complex ratio is a ratio where both the numerator and denominator are themselves ratios. For example, (6/8) ÷ (3/4) is a complex ratio. This can be converted into a unit rate by simplifying: (6/8) ÷ (3/4) = (6/8) × (4/3) = 24/24 = 1. Which of the following best describes how to convert a complex ratio into a unit rate?

• By dividing the two ratios and simplifying the result.

• By adding the numerators and denominators of the ratios.

• By multiplying the two ratios together without simplifying.

• By subtracting the smaller ratio from the larger one.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

The table shows the gallons filled in a pool over time.

Number of Hours | 1/4 | 3/4 | 1 1/2 | 2 1/2
Gallons Filled | 6 3/4 | ___ | ___ | ___

Complete the table.

• 3/4 hour: 20 1/4 gallons, 1 1/2 hours: 40 1/2 gallons, 2 1/2 hours: 67 1/2 gallons.

• 3/4 hour: 15 gallons, 1 1/2 hours: 30 gallons, 2 1/2 hours: 50 gallons.

• 3/4 hour: 10 1/2 gallons, 1 1/2 hours: 21 gallons, 2 1/2 hours: 35 gallons.

• 3/4 hour: 12 gallons, 1 1/2 hours: 24 gallons, 2 1/2 hours: 40 gallons.

Tags

CCSS.7.RP.A.2B

The table shows the gallons filled in a pool over time. What is the unit rate for this situation?

• 10 gallons per hour

• 5 gallons per hour

• 15 gallons per hour

• 20 gallons per hour

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

The table shows the gallons filled in a pool over time. What is the number of gallons filled in 5.5 hours?

• 660 gallons

• 550 gallons

• 605 gallons

• 715 gallons

Tags

CCSS.6.RP.A.3B

The table shows the gallons filled in a pool over time. Use a unit rate to determine about how many minutes it will take to fill 100 gallons in the pool.

• 10 minutes

• 20 minutes

• 50 minutes

• 100 minutes

Tags

CCSS.6.RP.A.3B

The rectangle shown is composed of smaller equal-sized squares. The shaded section has an area of 3/16 square inches. Use a unit rate to determine the area of the larger rectangle. What is the area of the larger rectangle?

• 16 square inches

• 12 square inches

• 8 square inches

• 6 square inches

Tags

CCSS.5.NF.B.5B

Emily took a 5-mile walk at the park on Saturday. How many kilometers did Emily walk?

• 8.05 kilometers

• 5.00 kilometers

• 10.00 kilometers

• 3.11 kilometers

Tags

CCSS.2.MD.A.2

Mr. Martinez pumped 12 gallons of gas into his car. How many liters of gas would that be?

• 45.42 liters

• 24.00 liters

• 30.00 liters

• 60.00 liters

Tags

CCSS.5.MD.A.1

Select the correct height in centimeters.

• 150 cm

• 180 cm

• 120 cm

• 200 cm

Tags

CCSS.2.MD.A.3

Use >, <, or = to make each statement correct. a. 2 in. _______ 4 cm

• 2 in. > 4 cm (since 2 in. ≈ 5.08 cm)

• 2 in. < 4 cm (since 2 in. ≈ 3.5 cm)

• 2 in. = 4 cm (since 2 in. ≈ 4 cm)

• 2 in. < 4 cm (since 2 in. ≈ 2.54 cm)

Tags

CCSS.4.MD.A.1

CCSS.5.MD.A.1