Lesson 5-1 Check Your Understanding ACTIVITY 5

Lesson 5-1
Multiply by Fractions
ACTIVITY 5
continued
My Notes
Check Your Understanding
13. Determine each product in simplest form.
b. 54 × 14
a. 12 × 14
d. 8 × 3
e. 9 × 2
15 4
20 3
4
2 ×77
h. 11
g. 5 ×20
c. 74 × 78
f. 8 × 5
9 11
i. 35 ×24
14. Model with mathematics.
a. Draw a rectangle like the one shown.
Shade it to find 2 × 3 .
3 4
b. Explain how you would make a model
to find 5 × 7
8 9
15. Explain how, without multiplying, you can determine whether to
put < or > in the circle below.
2× 3
7 10
2
7
16. Melissa is making a batch of cookies. The recipe calls for 2 cup of
3
chocolate. Melissa is making only one-fourth of a batch. How much
chocolate will she need in order to make her cookies?
17. Yesterday the town of Harrington received 7 inch of snow. Today the
8
town received 2 of yesterday’s amount. How much snow fell in
3
Harrington today?
18. Of the 245 shoppers at Shop ‘n’ Save yesterday, 2 completed the
7
customer survey. How many shoppers did NOT complete the survey?
19. Make sense of problems. Two fifteenths of the 630 students at
Dillon Middle School are on a sports team. Of those on a sports
team, 1 play basketball. Three-sevenths of the basketball players
4
are girls.
a. How many girls play on the Dillon basketball team?
b. How many boys play on the Dillon basketball team?
66
Unit 1 • Number Concepts
© 2014 College Board. All rights reserved.
LESSON 5-1 PRACTICE
Lesson 6-1
Dividing by Fractions
ACTIVITY 6
continued
My Notes
6. Complete: The number of fourths in 20 equals the number of
in 10 which equals the number of fifths in
.
7. Find the value of n: 4 ÷ n = 4 × n
5 6 5 6
Check Your Understanding
c. 1
15
c. 7 ÷ 1
4
18
f.
÷3
25 5
i. 7 ÷ 7
8 16
LESSON 6-1 PRACTICE
10. Hannah bought 9 1 pounds of ground beef to make hamburgers for
2
a party. How many 1 -pound burgers can she make?
4
11. A bookshelf has 7 shelves, each measuring 4 feet 3 inches in length.
The average width of a book is 3 inch. How many books will the
4
shelves hold?
12. A snail sets out on a 3 3 -mile journey, traveling at a speed of
5
2 miles per hour.
65
a. How many hours will the journey take?
b. How many days will the journey take?
13. Make sense of problems. A 4-foot-long submarine sandwich
costs $24. A 6-inch submarine sandwich costs $3.95. How much
money can you save by buying the 4-footer and slicing it into 6-inch
sandwiches?
14. Jake has $3 in quarters in his pocket. Explain how to use reciprocals
to find the number of quarters that he has.
15. Reason abstractly. State a simple rule you can use to find the
quotient of two fractions that have the same denominator.
16. Write a problem that you can solve by finding the quotient 1 ÷ 2 .
2 3
17. The Baxter Freeway is 24 miles long. There is a telephone at the
beginning, the end, and every 3 mile along the freeway. How many
4
telephones are there altogether?
74
Unit 1 • Number Concepts
© 2014 College Board. All rights reserved.
8. Determine the reciprocal of the fraction.
b. 12
a. 5
9
11
9. Determine each quotient in simplest form.
a. 1 ÷ 1
b. 4 ÷ 2
5 3
2 4
5
5
d. ÷
e. 3 1 ÷ 3
3 4
12 6
3
h. 1 ÷ 5
g. 1 ÷ 9
5 6
13