Chapter 2 Fractions
Find the LCM.
1. / 3, 4 / 2. / 3, 7 / 3. / 6, 9 / 1.2.
3. / ______
______
______
4. / 8, 10 / 5. / 4, 8 / 6. / 9, 12 / 4.
5.
6. / ______
______
______
7. / 4, 9 / 8. / 6, 15 / 9. / 16, 24 / 7.
8.
9. / ______
______
______
10. / 15, 25 / 11. / 28, 32 / 12. / 4, 18 / 10.
11.
12. / ______
______
______
Find the GCF.
1. / 3, 7 / 2. / 3, 6 / 3. / 9, 16 / 1.2.
3. / ______
______
______
4. / 8, 18 / 5. / 10, 15 / 6. / 30, 65 / 4.
5.
6. / ______
______
______
7. / 15, 30 / 8. / 36, 56 / 9. / 18, 27 / 7.
8.
9. / ______
______
______
10. / 21, 35 / 11. / 15, 20 / 12. / 30, 50 / 10.
11.
12. / ______
______
______
16. / 4, 8, 10 / 17. / 3, 5, 7 / 18. / 3, 9, 12 / 16.
17.
18. / ______
______
______
Express the shaded portion of the circle as a fraction.
1. / / 2. / / 1.2. / ______
______
3. / / 4. / 3.
4. / ______
______
Express the shaded portion of the circles as a mixed number.
5. / / 6. / / 5.6. / ______
______
7. / / 8. / / 7.
8. / ______
______
9. / / 10. / / 9.
10. / ______
______
Express the shaded portion of the circles as an improper fraction.
11. / / 12. / 11.12. / ______
______
13. / / 14. / / 13.
14. / ______
______
3
Write the improper fraction as a mixed number or whole number.
1. / / 2. / / 3. / / 1.2.
3. / ______
______
______
4. / / 5. / / 6. / / 4.
5.
6. / ______
______
______
7. / / 8. / / 9. / / 7.
8.
9. / ______
______
______
10. / / 11. / / 12. / / 10.
11.
12. / ______
______
______
Write the mixed number as an improper fraction.
13. / / 14. / / 15. / / 13.14.
15. / ______
______
______
16. / / 17. / / 18. / / 16.
17.
18. / ______
______
______
19. / / 20. / / 21. / / 19.
20.
21. / ______
______
______
6
Build an equivalent fraction with the given denominator.
1. / / 2. / / 3. / / 1.2.
3. / ______
______
______
4. / / 5. / / 6. / / 4.
5.
6. / ______
______
______
7. / / 8. / / 9. / / 7.
8.
9. / ______
______
______
16. / / 17. / / 18. / / 16.
17.
18. / ______
______
______
Reduce the fraction to simplest form.
1. / / 2. / / 3. / / 1.2.
3. / ______
______
______
4. / / 5. / / 6. / / 4.
5.
6. / ______
______
______
7. / / 8. / / 9. / / 7.
8.
9. / ______
______
______
10. / / 11. / / 12. / / 10.
11.
12. / ______
______
______
13. / / 14. / / 15. / / 13.
14.
15. / ______
______
______
Add.
1. / / 2. / / 3. / / 1.2.
3. / ______
______
______
4. / / 5. / / 6. / / 4.
5.
6. / ______
______
______
16. / / 17. / / 18. / / 16.
17.
18. / ______
______
______
Add.
1. / / 2. / / 3. / / 1.2.
3. / ______
______
______
4. / / 5. / / 6. / / 4.
5.
6. / ______
______
______
7. / / 8. / / 9. / / 7.
8.
9. / ______
______
______
10. / / 11. / / 12. / / 10.
11.
12. / ______
______
______
13. / / 14. / / 15. / / 13.
14.
15. / ______
______
______
16. / / 17. / / 18. / / 16.
17.
18. / ______
______
______
Add.
7. / / 8. / / 9. / / 7.8.
9. / ______
______
______
10. / / 11. / / 12. / / 10.
11.
12. / ______
______
______
13. / / 14. / / 15. / / 13.
14.
15. / ______
______
______
16. / / 17. / / 18. / / 16.
17.
18. / ______
______
______
19. / / 20. / / 21. / / 19.
20.
21. / ______
______
______
22. / / 23. / / 24. / / 22.
23.
24. / ______
______
______
7
Solve. Show work!
1. / Over a two-year period, a child grew inches. If the child grew inches the first year, how many inches did the child grow during the second year? / 2. / A wall that is -inches thick is covered by a -inch veneer. Find the total thickness after the never is installed. / 1.2. / ______
______
3. / A carpenter build a header by nailing a
-inch board to a -inch beam. Find the total thickness of the header. / 4. / You bought stock in a publishing company for ( per share). The price of the stock gained ( per share) during a three-week period. Find the price of the stock at the end of the three weeks. / 3.
4. / ______
______
5. / Find the length of the shaft in the
following diagram.
inches
/ 6. / A electrician works hours of overtime on Monday, hours on Tuesday, and hours on Wednesday. Find the total number of hours of overtime worked
during the three days. / 5.
6. / ______
______
7. / An artist places a -inch mat around a painting that is inches long and inches wide. Find the new dimensions of the picture. / 8. / A shopper bought pound of cheese,
pound of ham, pound of bologna,
and pounds of salami. How many pounds of cold cuts did the shopper buy? / 7.
8. / ______
______
9. / A recipe calls for cups of rice, cups of chopped celery, and cups of sliced carrots. Find the total amount of rice, celery, and carrots needed for the recipe. / 10. / A plumber works hours of overtime on Thursday and hours on Friday. At a salary of $48 an hour, how much overtime pay does the plumber receive for the two days? / 9.
10. / ______
______
9
Subtract.
1. / / 2. / / 3. / / 1.2.
3. / ______
______
______
4. / / 5. / / 6. / / 4.
5.
6. / ______
______
______
1. / / 2. / / 3. / / 1.
2.
3. / ______
______
______
4. / / 5. / / 6. / / 4.
5.
6. / ______
______
______
7. / / 8. / / 9. / / 7.
8.
9. / ______
______
______
10. / / 11. / / 12. / / 10.
11.
12. / ______
______
______
13. / / 14. / / 15. / / 13.
14.
15. / ______
______
______
Subtract.
1. / / 2. / / 3. / / 1.2.
3. / ______
______
______
7. / / 8. / / 9. / / 7.
8.
9. / ______
______
______
10. / / 11. / / 12. / / 10.
11.
12. / ______
______
______
13. / / 14. / / 15. / / 13.
14.
15. / ______
______
______
16. / / 17. / / 18. / / 16.
17.
18. / ______
______
______
19. / / 20. / / 21. / / 19.
20.
21. / ______
______
______
22. / / 23. / / 24. / / 22.
23.
24. / ______
______
______
10
Solve. Show work.
1. / A planer removes inch from a -inch board. Find the resulting thickness of the board. / 2. / A –foot piece is cut from a 4-foot board. How much of the board is left? / 1.2. / ______
______
3. / You painted of your house today. How
much of the paint job remains to be done? / 4. / In an athletic competition, the two best
long jump attempts measured feet
and feet. Find the difference
between the two best jumps. / 3.
4. / ______
______
5. / Find the missing dimension.
feet
feet / 6. / A plane trip from Boston to San Francisco takes hours. After the plane is in the air to hours, how much time remains before landing? / 5.
6. / ______
______
7. / A three-day, -mile hike is planned. A hiker travels miles the first day and miles the second day. How many miles are left to travel on the third day? / 8. / For an upcoming role, an actor is put on a diet to lose 15 pounds. If pounds are lost the first week and pounds the second week, how many pounds must be lost to achieve the goal? / 7.
8. / ______
______
9. / Two painters are staining a house. In one day, one painter stains of the house while the other stains of the house. How much of the job remains to be done? / 10. / A 10-mile race has 2 checkpoints. The
first checkpoint is miles from the starting point. The second checkpoint is miles from the first checkpoint. How many miles is it from the second
checkpoint to the finish line? / 9.
10. / ______
______
12
Multiply.
1. / / 2. / / 3. / / 1.2.
3. / ______
______
______
4. / / 5. / / 6. / / 4.
5.
6. / ______
______
______
7. / / 8. / / 9. / / 7.
8.
9. / ______
______
______
1. / / 2. / / 3. / / 1.
2.
3. / ______
______
______
4. / / 5. / / 6. / / 4.
5.
6. / ______
______
______
7. / / 8. / / 9. / / 7.
8.
9. / ______
______
______
10. / / 11. / / 12. / / 10.
11.
12. / ______
______
______
13. / / 14. / / 15. / / 13.
14.
15. / ______
______
______
16. / / 17. / / 18. / / 16.
17.
18. / ______
______
______
Solve.
1. / An apprentice bricklayer earns $24 anhour. What are the bricklayer’s total earnings after working hours? / 2. / A sports car gets 21 miles on each
gallon of gasoline. How many miles
can the car travel on gallons of gasoline? / 1.
2. / ______
______
3. / A board is feet long. One fourth of the board is cut off. What is the length of the piece cut off? / 4. / A plumber earns $320 for each day
worked. What is the total of the plumber’s earnings for working days. / 3.
4. / ______
______
5. / A family has an income of $3888 each month. The family spends of its income on rent. How much of the family’s income (in dollars) is spent on rent each month? / 6. / A company budgets of its income each month for advertising. In June, the company had an income of $110,100. What is the amount budgeted for advertising in June? / 5.
6. / ______
______
7. / A student read of a book containing
645 pages. How many pages did the student read? / 8. / A person can walk miles in one hour. How many miles can the person walk in hours? / 7.
8. / ______
______
9. / An administrative assistant’s gross weekly salary is $648. If of this amount is deducted for taxes, what is the administrative assistant’s net weekly
salary? / 10. / A sales representative has completed of a 1316-mile business trip. How many miles of the trip remain? / 9.
10. / ______
______
13
Divide.
1. / / 2. / / 3. / / 1.2.
3. / ______
______
______
4. / / 5. / / 6. / / 4.
5.
6. / ______
______
______
7. / / 8. / / 9. / / 7.
8.
9. / ______
______
______
10. / / 11. / / 12. / / 10.
11.
12. / ______
______
______
1. / / 2. / / 3. / / 1.
2.
3. / ______
______
______
4. / / 5. / / 6. / / 4.
5.
6. / ______
______
______
7. / / 8. / / 9. / / 7.
8.
9. / ______
______
______
10. / / 11. / / 12. / / 10.
11.
12. / ______
______
______
16. / / 17. / / 18. / / 16.
17.
18. / ______
______
______
15