math 7 unit 6 introduction to fraction operations
TRANSCRIPT
Math 7 Unit 6
Introduction to Fraction Operations
1. The addition statement represented by the fraction strips below is .
3616
+
True or False
1. The addition statement represented by the fraction strips below is .
3616
+
True or False
2. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
True or False
2. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
True or False
3. If the sum of a number’s digits is divisible by 9, then the number is divisible by 9.
True or False
3. If the sum of a number’s digits is divisible by 9, then the number is divisible by 9.
True or False
4. In lowest terms, what fraction of the hexagon is shaded?
4. In lowest terms, what fraction of the hexagon is shaded?
1/3
5. What are the common factors of 8 and 30?
5. What are the common factors of 8 and 30?
1, 2,
6. What is the greatest common factor of 14 and 35?
6. What is the greatest common factor of 14 and 35?
7
7. What is the greatest common factor of 16 and 24?
7. What is the greatest common factor of 16 and 24?
8
8. What is the subtraction statement represented by the diagram?
8. What is the subtraction statement represented by the diagram?
46
36
9. In lowest terms, what is the result of the addition statement represented by the
diagram?
9. In lowest terms, what is the result of the addition statement represented by the
diagram?
34
10. What is the difference, in lowest terms, of the subtraction statement shown in the diagram?
10. What is the difference, in lowest terms, of the subtraction statement shown in the diagram?
13
11. What fraction is equivalent to ?912
11. What fraction is equivalent to ?912
34
12. The number 12 is divisible by 1, 2, 3, 4, 6, and 12. The number 15 is divisible by 1, 3, 5, and 15. The numbers 1 and 3 are ____________________ of 12 and 15.
12. The number 12 is divisible by 1, 2, 3, 4, 6, and 12. The number 15 is divisible by 1, 3, 5, and 15. The numbers 1 and 3 are ____________________ of 12 and 15.
common factors
13. Subtract. The answer in lowest terms is ____________________.
13. Subtract. The answer in lowest terms is ____________________.
13
14. Subtract each pair of fractions and give the answer in lowest terms.
14. Subtract each pair of fractions and give the answer in lowest terms.
55
25
35
15. Evaluate the following and express your answers in lowest terms.
112
712
112
712
812
23
15. Evaluate the following and express your answers in lowest terms.
112
712
16. Which fraction is equivalent to ?
a. 3/6 b. 2/3 c. 6/9 d. 3/4
912
16. Which fraction is equivalent to ?
a. 3/6 b. 2/3 c. 6/9 d. 3/4
912
17. Evaluate each expression. Show your answers in lowest terms.
29
49
17. Evaluate each expression. Show your answers in lowest terms.
29
49
29
49
69
23
18. Ms. Lohan’s art class has decided to put some money together to buy painting supplies for her birthday. The items they purchased and the total cost for each are as follows:brushes $15.00 canvas boards $35.00sketchpads$10.00 sketch pencils $5.00
a) What is the total cost of the painting supplies?
Ms. Lohan’s art class has decided to put some money together to buy painting supplies for her birthday. The items they purchased and the total cost for each are as follows:brushes $15.00 canvas boards $35.00sketchpads$10.00 sketch pencils $5.00
a) What is the total cost of the painting supplies?
15 + 35 + 10 + 5 = 65 The total cost is $65.00.
19. Ms. Lohan’s art class has decided to put some money together to buy painting supplies for her birthday. The items they purchased and the total cost for each are as follows:
brushes $15.00 canvas boards $35.00
sketchpads$10.00 sketch pencils $5.00
b) Write a fraction to represent the cost of each item out of the total cost. Write each fraction in lowest terms.
19. Ms. Lohan’s art class has decided to put some money together to buy painting supplies for her birthday. The items they purchased and the total cost for each are as follows:
brushes $15.00 canvas boards $35.00
sketchpads$10.00 sketch pencils $5.00
b) Write a fraction to represent the cost of each item out of the total cost. Write each fraction in lowest terms.
brushes: 15/65 = 3/13 ; canvas boards: 35/65 = 7/13; sketchpads: 10/65 = 2/13; pencils: 5/65 = 1/13
Ms. Lohan’s art class has decided to put some money together to buy painting supplies for her birthday. The items they purchased and the total cost for each are as follows:
brushes $15.00 canvas boards $35.00
sketchpads$10.00 sketch pencils $5.00
b) Write a fraction to represent the cost of each item out of the total cost. Write each fraction in lowest terms.
20. Write a fraction, in lowest terms, to represent each situation.
a) 12 marbles out of a bag of 36b) 3 markers out of a box of 30
20. Write a fraction, in lowest terms, to represent each situation.
a) 12 marbles out of a bag of 36b) 3 markers out of a box of 30
a) 12/36 = 1/3
b) 3/30 = 1/10
21. Write a fraction, in lowest terms, to represent each situation.
a)10 sheets of paper used out of a pack of 200
b) 3 slices of pizza out of 12
21. Write a fraction, in lowest terms, to represent each situation.
a)10 sheets of paper used out of a pack of 200
b) 3 slices of pizza out of 12
a)10/200 = 1/20
b) 3/12 = 1/4
22. From a box of 28 candy bars, Adam takes 6 candy bars, Ben takes 11, and Candice takes 8.
a) Write an addition statement to find what fraction of the box has been taken.
22. From a box of 28 candy bars, Adam takes 6 candy bars, Ben takes 11, and Candice takes 8.
a) Write an addition statement to find what fraction of the box has been taken.
628
1128
828
2528
of the box has been taken.2528
23.From a box of 28 candy bars, Adam takes 6 candy bars, Ben takes 11, and Candice takes 8.
b) How many candy bars are left in the box?
23.From a box of 28 candy bars, Adam takes 6 candy bars, Ben takes 11, and Candice takes 8.
b) How many candy bars are left in the box?
There are 3 candy bars left in the box.
2828
2528
328
24. What is the difference, in lowest terms, of the subtraction statement shown in the diagram?
a. 1/2 b. 1/3 c. 1/4 d. 1/6
24. What is the difference, in lowest terms, of the subtraction statement shown in the diagram?
a. 1/2 b. 1/3 c. 1/4 d. 1/6
25. Solve: 2/5 – 1/5
a. 1/10 b. 1/5 c. 2/5 d. 2/10
25. Solve: 2/5 – 1/5
a. 1/10 b. 1/5 c. 2/5 d. 2/10