Show your work. - Weebly

[Pages:2]6-4

Name

Date

Write the equivalent fraction.

1. 6_25_ =

_3_2_ 5

3. 4_67_ =

_3_4_ 7

5. 3_17_0_ =

_3_7_ 10

7. 7_34_ =

_3_1_ 4

2. 2_38_ =

_1_9_ 8

4. 8_13_ =

_2_5_ 3

6. 5_56_ =

_3_5_ 6

8. 1_49_ =

_1_3_ 9

Write the equivalent mixed number.

9.

_5_0_ 7

=

7_17_

11.

_2_3_ 4

=

5_34_

13.

_2_1_ 8

=

2_58_

15.

_6_0_ 9

=

6_69_

10.

_1_6_ 10

=

1_16_0_

12.

_5_0_ 5

=

10

14.

_1_1_ 3

=

3_23_

16.

_2_3_ 5

=

4_35_

Solve.

17. Castor brought 6_34_ small carrot cakes to share with the 26 students in his class. Did Castor bring enough

for

each

student

to

have

_1_ 4

of

a

cake?

Explain

your

thinking.

6_34_ = _24_7_; There is enough for 27 people to each

have

_1_ 4

of

a

cake.

18. Claire cut some apples into eighths. She and her

friends ate all but 17 pieces. How many whole

apples and parts of apples did she have left over?

Tell how you know.

_1_7_ 8

=

2_18_;

She

had

two

whole

apples

and

1 part of an apple left.

Show your work.

? Houghton Mifflin Harcourt Publishing Company

UNIT 6 LESSON 4

Mixed Numbers and Fractions Greater Than 1 135

6-4

Name

Date

Write and solve an equation to solve each problem. Draw comparison bars when needed.

1. Brigitte fostered 14 dogs this year, which is 5 less than last year. How many dogs did Brigitte foster last year? 14 = d - 5 or d = 14 + 5; d = 19; 19 dogs

2. Rema has two jobs. In one year, she worked 276 hours at her first job. In the same year, she worked 3 times the number of hours at her second job. How many hours did Rema work that year at her second job? 276 ? 3 = h; h = 828; 828 hours

Show your work.

Complete. 3. How many milliliters are equal to 21 L? 4. How many milligrams are equal to 9 g? 5. How many grams are equal to 400 kg?

21,000 mL 9,000 mg 400,000 g

Solve.

6.

_3_ 4

-

_1_ 4

=

_2_ 4

7.

_2_ 9

+

_3_ 9

=

_5_ 9

8.

_7_ 8

-

_1_ 8

=

_6_ 8

9. Stretch Your Thinking Harrison says that to convert a mixed

number to a fraction greater than 1, he thinks of it this way:

4_25_

=

_5_ 5

+

_5_ 5

+

_5_ 5

+

_5_ 5

+

_2_ 5

=

_2_2_.

5

Does

his

strategy

work?

Explain.

Yes; The mixed number 4_25_ is made up of a whole

number part and a fraction part. Harrison changed

the whole number to a sum of fractions with the same

denominator as the fraction part of the mixed number.

Since

1

whole

=

_5_,

5

4

wholes

equal

_5_ 5

+

_5_ 5

+

_5_ 5

+

_5_,

5

which

is

_2_0_.

5

When

this

is

added

to

the

fraction

_2_,

5

the

total

is

_2_2_.

5

136 UNIT 6 LESSON 4

Mixed Numbers and Fractions Greater Than 1

? Houghton Mifflin Harcourt Publishing Company

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download