Measurement and Data: Dividing Unit Fractions by Whole Numbers and Vice Versa (CCSS.5.MD.1)

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Common Core 5th Grade Math › Measurement and Data: Dividing Unit Fractions by Whole Numbers and Vice Versa (CCSS.5.MD.1)

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1

Jamie waters plants with 3 bottles, each holding 250 mL. What is the total amount in liters? (1000 mL = 1 L)

0.25 L

0

3 L

0

0.75 L

CORRECT

750 L

0

Explanation

First find the total in milliliters: 3 × 250 = 750 mL. Then convert using 1000 mL = 1 L: 750 ÷ 1000 = 0.75 L. Distractors flip the ratio or skip a step.

2

A ribbon is 350 cm long. What is the length in meters? (100 cm = 1 m)

0.35 m

0

3.5 m

CORRECT

35 m

0

350 m

0

Explanation

Use the conversion 100 cm = 1 m. Divide centimeters by 100: 350 ÷ 100 = 3.5 m. Distractors come from dividing by 1000 or multiplying instead of dividing.

3

A recipe uses 750 g of sugar. What is this mass in kilograms? (1 kilogram = 1000 grams)

0.75 kg

CORRECT

7.5 kg

0

75 kg

0

0.075 kg

0

Explanation

Use the conversion 1 kilogram = 1000 grams. Divide grams by 1000: 750 ÷ 1000 = 0.75 kg. Larger answers come from multiplying instead of dividing or moving the decimal too far.

4

A bus trip took 2 hours 30 minutes. What is the total time in minutes? (1 hour = 60 minutes)

120 minutes

0

90 minutes

0

180 minutes

0

150 minutes

CORRECT

Explanation

Convert hours to minutes and add the extra minutes: 2 × 60 = 120 minutes, then 120 + 30 = 150 minutes. Some choices multiply or omit the added minutes.