Name _________________________________________________ Class _______________ Date _______________
Practice
1-4
Unit Rates with Fractions
1-4
Unit Rates with Fractions
1.Harry is bundling magazines to recycle. He notices that 4 magazines weigh
3
pound in all and that the magazines all weigh the same amount. What is
8
the unit rate for pounds per magazine?
1
hour.
3
a) What is the unit rate for pages per hour?
2.Leo reads 13 pages in
b) What is the unit rate for hours per page?
3.Write the rate
4.A bicyclist rides
1 inch
7
1 minute
14
as a unit rate.
1
1
mile in
hour. Write this rate as a unit rate.
65
5
1
1
miles. She used 1 gallons of gasoline. What is
2
4
the unit rate for miles per gallon?
5.Yesterday, Grace drove 38
6.You are running a fuel economy study. One of the cars you find is blue. It can
1
1
travel 35
miles on 1 gallons of gasoline. Another car is red. It can travel
2
4
1
4
27
miles on
gallon of gasoline.
5
5
a) What is the unit rate for miles per gallon for the blue car?
b) What is the unit rate for miles per gallon for the red car?
c) Which car could travel the greater distance on 1 gallon of gasoline?
7.Writing A store sells two kinds of candles, scented and unscented. The
1
1
1
scented candles burn
inch in
hour. The unscented candles burn
inch
8
4
9
1
in
hour.
3
a) What is the unit rate for inches burned per hour for the scented candles?
b) What is the unit rate for inches burned per hour for the unscented
candles?
c) Which kind of candle burns more in an hour?
d) Show how to find the unit rate of hours per inch for each kind of candle.
e) Explain the meaning of this unit rate.
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
Practice 1-4
1
Homework K
8.Reasoning Hannah is making muffins. The recipe calls for 2 cup of milk to
3
make 8 muffins.
a) What is the unit rate for cups of milk per muffin?
b) What is the unit rate for muffins per cup of milk?
c) Show or describe at least two ways to find the unit rate for muffins per
cup of milk.
1
pound
5
9. Error Analysis Henry incorrectly said the rate
can be written as the
1
quart
20
1
unit rate
pound per quart.
100
a) What is the correct unit rate?
b) What was Henry’s likely error?
❍❍ A. He multiplied both terms by the numerator. He should have
multiplied both terms by the denominator.
❍❍ B. He divided both terms by the numerator. He should have divided
both terms by the denominator.
❍❍ C. He divided both terms by the denominator. He should have
multiplied both terms by the denominator.
❍❍ D. He multiplied both terms by the denominator. He should have
divided both terms by the denominator.
10. Yardwork Last weekend, Charlie raked leaves in his front yard. He noticed
7
4
that
kilograms of leaves filled
of a bag. What is the unit rate for
3
9
kilograms of leaves per bag?
11. Open-Ended Graham drove 42
1
1
miles in 1 hours.
3
3
a) What is the unit rate for miles per hour?
b) Describe a situation in which the unit rate would be easier to work with
than the given rate.
12. A box of cereal states that there are 90 calories in a
3
-cup serving.
4
a) What is the unit rate for calories per cup?
b) How many calories are there in 4 cups of the cereal?
7
miles
3
13. a) Write
as a unit rate.
4
hour
9
b) Describe a situation that would use this unit rate.
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
Practice 1-4
2
Homework K
14. Think About the Process There was a long rainstorm last week. In the first
4 hours, 2 inch of rain fell. To find the unit rate for inches per hour, the first
3
step is to write the rate as shown below.
2
inch
3
4 hour
a) What is the next step?
❍❍ A. Divide both terms by 4.
❍❍ B. Multiply both terms by 2 .
3
b) What is the unit rate for inches per hour?
❍❍ C. Divide both terms by 2 .
3
❍❍ D. Multiply both terms by 4.
c) What is the unit rate for hours per inch?
15. Think About the Process Rob is putting soil into planters that are all the
same size. He wants to put the same amount of soil into each planter. After a
1
1
while, he finds that he has used 7 kilograms of dirt to fill 2 planters. To
4
2
find how much dirt is in each full planter, he sets up the rate shown below.
1
kilograms
4
1
2 planters
2
7
a) What should Rob do to find the unit rate for kilograms per planter?
❍❍ A. Divide both terms by 5 .
2
❍❍ B. Divide both terms by 29 .
4
❍❍ C. Multiply both terms by 5 .
2
❍❍ D. Multiply both terms by 29 .
4
b) What is the unit rate?
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
Practice 1-4
3
Homework K
ANSWER
KEY
Practice 1-4: Unit Rates with Fractions
1. 3
32
2.a)39 pages/hr
1 hr/page
b)
39
3.2 in./min
4.13 mi/hr
5.30 4 mi/gal
5
6.a) 28 2 mi/gal
5
b)
34 mi/gal
c)
red
7.a) 1 in./hr
2
1 in./hr
b)
3
c)
scented
d)
Answers will vary
8.a) 1 c of milk/muffin
12
b)
12 muffins/c of milk
c)
Answers will vary
9.a)4 lb/qt
b)
D
10. 5 1 kg/bag
4
11. a) 31 3 mi/hr
4
b)
Answers will vary
12. a) 120
b)
480
13. a) 5 1
4
b)
Answers will vary
14. a) A
1
b)
6
c)
6
15. a) A
b)
2 9
10
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
Practice 1-4
4
Answer Key K