Unit Rates with Fractions

Question 1

A hiking group climbs 3/4 kilometer up a steep trail in 1/2 hour. What is its speed in kilometers per hour?

Accepted Answer

3/2 kilometers per hour

Answer

3/8 kilometers per hour

Answer

2/3 kilometers per hour

Answer

5/4 kilometers per hour

Question 2

A swimmer goes 5/8 kilometer in 1/4 hour. What is the unit rate in kilometers per hour?

Accepted Answer

5/2 kilometers per hour

Answer

5/32 kilometers per hour

Answer

2/5 kilometers per hour

Answer

7/8 kilometers per hour

Question 3

A tap fills 7/10 liter in 1/5 minute. How many liters per minute is that?

Accepted Answer

7/2 liters per minute

Answer

7/50 liters per minute

Answer

2/7 liters per minute

Answer

6/7 liters per minute

Question 4

A machine packs 9/4 kilograms in 3/4 hour. What is the packing rate in kilograms per hour?

Accepted Answer

3.00 kilograms per hour

Answer

1.69 kilograms per hour

Answer

0.33 kilograms per hour

Answer

2.25 kilograms per hour

Question 5

A hiker walks 4/5 kilometer in 2/3 hour. What is the hiking speed in kilometers per hour?

Accepted Answer

6/5 kilometers per hour

Answer

8/15 kilometers per hour

Answer

5/6 kilometers per hour

Answer

6/7 kilometers per hour

Question 6

A recipe uses 3/8 liter of broth for 3/4 batch. What is the broth rate per batch?

Accepted Answer

1/2 liter per batch

Answer

9/32 liter per batch

Answer

2 liters per batch

Answer

1/8 liter per batch

Question 7

A gardener spreads 5/6 bag of compost over 1/3 garden. What is the rate in bags per garden?

Accepted Answer

5/2 bags per garden

Answer

5/18 bags per garden

Answer

2/5 bags per garden

Answer

1/2 bags per garden

Question 8

An elevator rises 7/12 meter in 1/6 second. What is its speed in meters per second?

Accepted Answer

7/2 meters per second

Answer

7/72 meters per second

Answer

2/7 meters per second

Answer

13/12 meters per second

Question 9

A rowboat drifts 9/10 kilometer in 3/5 hour. What is its speed in kilometers per hour?

Accepted Answer

3/2 kilometers per hour

Answer

27/50 kilometers per hour

Answer

2/3 kilometers per hour

Answer

4/5 kilometers per hour

Question 10

A baker uses 2/3 kilogram of flour for 4/5 batch. What is the flour rate per batch?

Accepted Answer

5/6 kilogram per batch

Answer

8/15 kilogram per batch

Answer

6/5 kilograms per batch

Answer

3/4 kilogram per batch

Question 11

A pipe drains 5/12 liter in 1/8 minute. What is the draining rate in liters per minute?

Accepted Answer

10/3 liters per minute

Answer

5/96 liters per minute

Answer

3/10 liters per minute

Answer

13/24 liters per minute

Question 12

A robot moves 3/7 meter in 2/5 second. What is its speed in meters per second?

Accepted Answer

15/14 meters per second

Answer

6/35 meters per second

Answer

14/15 meters per second

Answer

5/9 meters per second

Question 13

A painter sprays 4/9 liter in 2/3 minute. What is the spraying rate in liters per minute?

Accepted Answer

2/3 liter per minute

Answer

8/27 liter per minute

Answer

3/2 liters per minute

Answer

1/2 liter per minute

Question 14

A conveyor moves 7/8 meter in 2/5 minute. What is its speed in meters per minute?

Accepted Answer

35/16 meters per minute

Answer

7/20 meters per minute

Answer

16/35 meters per minute

Answer

9/13 meters per minute

Question 15

A painter covers 2/3 wall in 1/4 hour. At that rate, how many walls are covered in 1 hour?

Accepted Answer

8/3 walls per hour

Answer

1/6 walls per hour

Answer

3/8 walls per hour

Answer

11/12 walls per hour

Question 16

A mower cuts 3/5 lawn in 1/2 hour. At that rate, how many lawns are cut in 1 hour?

Accepted Answer

6/5 lawns per hour

Answer

3/10 lawns per hour

Answer

5/6 lawns per hour

Answer

4/7 lawns per hour

Question 17

A student reads 5/6 chapter in 2/3 hour. What is the reading rate in chapters per hour?

Accepted Answer

5/4 chapters per hour

Answer

5/9 chapters per hour

Answer

4/5 chapters per hour

Answer

7/9 chapters per hour

Question 18

A tank fills 7/8 of its capacity in 1/4 hour. How many full tanks fill in 1 hour?

Accepted Answer

7/2 tanks per hour

Answer

7/32 tanks per hour

Answer

2/7 tanks per hour

Answer

2/3 tanks per hour

Question 19

A printer finishes 3/4 poster in 1/6 hour. What is the printing rate in posters per hour?

Accepted Answer

9/2 posters per hour

Answer

1/8 posters per hour

Answer

2/9 posters per hour

Answer

2/5 posters per hour

Question 20

A soup recipe makes 4/5 liter of soup from 2/3 kilogram of vegetables. What is the rate in liters per kilogram?

Accepted Answer

6/5 liters per kilogram

Answer

8/15 liters per kilogram

Answer

5/6 liters per kilogram

Answer

3/4 liters per kilogram

Question 21

A fertilizer bag covers 5/8 field with 1/4 bag. What is the coverage rate in fields per bag?

Accepted Answer

5/2 fields per bag

Answer

5/32 fields per bag

Answer

2/5 fields per bag

Answer

1/2 fields per bag

Question 22

A dough recipe uses 3/10 kilogram of flour for 2/5 of a recipe. What is the flour rate per recipe?

Accepted Answer

3/4 kilogram per recipe

Answer

3/25 kilogram per recipe

Answer

4/3 kilograms per recipe

Answer

1/3 kilogram per recipe

Question 23

A craft uses 5/6 meter of ribbon for 2/3 bow. What is the ribbon rate in meters per bow?

Accepted Answer

5/4 meters per bow

Answer

5/9 meters per bow

Answer

4/5 meters per bow

Answer

7/9 meters per bow

Question 24

A seed packet plants 2/5 row using 3/4 packet. What is the seed rate in packets per row?

Accepted Answer

15/8 packets per row

Answer

3/10 packets per row

Answer

8/15 packets per row

Answer

5/9 packets per row

Question 25

An art class paints 2/5 mural in 3/10 hour. What is the painting rate in murals per hour?

Accepted Answer

4/3 murals per hour

Answer

3/25 murals per hour

Answer

3/4 murals per hour

Answer

1/3 murals per hour

Question 26

A snail travels 1/6 meter in 1/4 hour. What is its speed in meters per hour?

Accepted Answer

2/3 meter per hour

Answer

1/24 meter per hour

Answer

3/2 meters per hour

Answer

1/5 meter per hour

Question 27

A shade cloth covers 7/9 patio in 2/3 hour. What is the coverage rate in patios per hour?

Accepted Answer

7/6 patios per hour

Answer

14/27 patios per hour

Answer

6/7 patios per hour

Answer

3/4 patios per hour

Question 28

A blender crushes 3/8 kilogram of ice in 1/4 minute. What is the rate in kilograms per minute?

Accepted Answer

3/2 kilograms per minute

Answer

3/32 kilograms per minute

Answer

2/3 kilograms per minute

Answer

1/3 kilograms per minute

Question 29

Store A sells 3/4 kilogram of rice for $6.00. Store B sells 2/3 kilogram for $5.60. Which has the lower price per kilogram?

Accepted Answer

Store A, at $8.00 per kilogram

Answer

Store B, at $8.40 per kilogram

Answer

Store A, at $4.50 per kilogram

Answer

Store B, at $3.73 per kilogram

Question 30

Walker A goes 5/6 kilometer in 1/3 hour. Walker B goes 3/4 kilometer in 1/4 hour. Which walker is faster?

Accepted Answer

Walker B, at 3.00 kilometers per hour

Answer

Walker A, at 2.50 kilometers per hour

Answer

Walker A, at 0.28 kilometers per hour

Answer

Walker B, at 0.19 kilometers per hour

Question 31

Machine A packs 7/8 kilogram in 1/4 hour; Machine B packs 5/6 kilogram in 1/3 hour. Which rate is greater?

Accepted Answer

Machine A, at 3.50 kilograms per hour

Answer

Machine B, at 2.50 kilograms per hour

Answer

Machine A, at 0.22 kilograms per hour

Answer

Machine B, at 0.28 kilograms per hour

Question 32

Paint A covers 2/3 wall with 1/2 liter; Paint B covers 3/4 wall with 2/3 liter. Which covers more per liter? Round rates to hundredths.

Accepted Answer

Paint A, at 1.33 walls per liter

Answer

Paint B, at 1.13 walls per liter

Answer

Paint A, at 0.33 walls per liter

Answer

Paint B, at 0.50 walls per liter

Question 33

Recipe A uses 2/5 kilogram of oats for 1/2 batch; Recipe B uses 3/4 kilogram for 2/3 batch. Which uses less per batch?

Accepted Answer

Recipe A, at 0.80 kilogram per batch

Answer

Recipe B, at 1.13 kilograms per batch

Answer

Recipe A, at 0.20 kilogram per batch

Answer

Recipe B, at 0.50 kilogram per batch

Question 34

Cleaner A costs $4.50 for 3/4 liter; Cleaner B costs $3.20 for 2/5 liter. Which has the lower price per liter?

Accepted Answer

Cleaner A, at $6.00 per liter

Answer

Cleaner B, at $8.00 per liter

Answer

Cleaner A, at $3.38 per liter

Answer

Cleaner B, at $1.28 per liter

Question 35

Train A travels 7/10 kilometer in 1/5 minute; Train B travels 5/6 kilometer in 1/3 minute. Which train is faster?

Accepted Answer

Train A, at 3.50 kilometers per minute

Answer

Train B, at 2.50 kilometers per minute

Answer

Train A, at 0.14 kilometers per minute

Answer

Train B, at 0.28 kilometers per minute

Question 36

Fabric A costs $7.20 for 3/5 meter; Fabric B costs $8.75 for 5/8 meter. Which has the lower cost per meter?

Accepted Answer

Fabric A, at $12.00 per meter

Answer

Fabric B, at $14.00 per meter

Answer

Fabric A, at $4.32 per meter

Answer

Fabric B, at $5.47 per meter

Question 37

Mix A makes 5/6 liter from 1/2 can; Mix B makes 3/4 liter from 2/5 can. Which makes more per can?

Accepted Answer

Mix B, at 1.88 liters per can

Answer

Mix A, at 1.67 liters per can

Answer

Mix A, at 0.42 liters per can

Answer

Mix B, at 0.30 liters per can

Question 38

Garden A grows 3/5 kilogram on 1/4 square meter; Garden B grows 7/8 kilogram on 1/2 square meter. Which yield is higher?

Accepted Answer

Garden A, at 2.40 kilograms per square meter

Answer

Garden B, at 1.75 kilograms per square meter

Answer

Garden A, at 0.15 kilograms per square meter

Answer

Garden B, at 0.44 kilograms per square meter

Question 39

Tutor A charges $18.00 for 3/4 hour; Tutor B charges $14.00 for 1/2 hour. Which has the lower hourly price?

Accepted Answer

Tutor A, at $24.00 per hour

Answer

Tutor B, at $28.00 per hour

Answer

Tutor A, at $13.50 per hour

Answer

Tutor B, at $7.00 per hour

Question 40

Trail A is 5/8 kilometer in 1/4 hour; Trail B is 3/4 kilometer in 1/2 hour. Which speed is greater?

Accepted Answer

Trail A, at 2.50 kilometers per hour

Answer

Trail B, at 1.50 kilometers per hour

Answer

Trail A, at 0.16 kilometers per hour

Answer

Trail B, at 0.38 kilometers per hour

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Unit Rates with Fractions

Ways to Play

Device Games: Students play on their phones

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Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

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Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner

Unit Rates with Fractions

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner