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Name _____________________________
Date ___________________
Fractions
Fill in the missing number.
1.  
54

  =  
6

13

2.  


238
  =  
1

14

3.  
43

12
  =  


120


Write each fraction in simplest form.
4.  
66

132




5.  
5

40




6.  
12

36




7.  
7

42





Compare. Write <, >, or =.
8.  
16

29
    
857

27
9.  
4

8
    
3

6
10.  
5

6
    
2

10
11.  
3

13
    
4

12
12.  
2

21
    
10

17
13.  
2

10
    
11

15

Complete.
14.   Which of the following fractions is written in reduced form (lowest terms)? How do you know?
1

6
  ,  
3

21
  ,  
32

36
  ,  
3

18


15.   Explain the difference between a proper fraction and an improper fraction, and give an example of each type.


 

Key #2
aKey #2
Order the fractions from least to greatest.
16.  
7

9
  ,  
9

12
  ,  
14

18

17.  
3

6
  ,  
2

4
  ,  
5

10

18.  
9

14
  ,  
1

5
  ,  
6

8

19.  
1

2
  ,  
12

15
  ,  
14

17

20.  
7

19
  ,  
5

11
  ,  
8

16

21.  
1

3
  ,  
11

13
  ,  
1

7


Write each improper fraction as a mixed number in simplest form.
22.  
118

19

23.  
52

15

24.  
98

18

25.  
37

9

26.  
7

4

27.  
27

11

28.  
81

12

29.  
21

5


Write each mixed number as an improper fraction in simplest form.
30.  
5
3

6

31.  
4
5

9

32.  
1
2

8

33.  
6
7

16

34.  
2
3

4

35.  
3
11

12

36.  
2
10

11

37.  
6
7

19


Fill in the missing number.
38.  
74

11
  =  
8

11

39.  
106

19
  =  5


19

40.  


9
  =  4
1

9

41.  


14
  =  2
9

14


 

Key #2
aKey #2
Add or subtract. Write the answer in simplest form.
42.  
20
15

70
  -  6
34

70




43.  
4  +  11
9

10




44.  
18
20

22
  +  14
8

22





Multiply. Write the answer in simplest form.
45.  
15    
14

18




46.  
4    
5

13




47.  
10    
1

8





Multiply. Write the answer in simplest form.
48.  
10

12
    
6

8




49.  
1

2
    
4

17




50.  
1

5
    
3

6





Divide. Write the answer in simplest form.
51.  
1

2
  ÷  
2

8




52.  
5

12
  ÷  
1

4




53.  
4

19
  ÷  
3

5





 

Key #2
aKey #2
Divide. Write the answer in simplest form.
54.  
4

7
  ÷  4
1

2




55.  
12
5

17
  ÷  
11

14




56.  
2
1

8
  ÷  
3

6





Add or subtract. Write the answer in simplest form.
57.  
5  +  
2

12




58.  
17  -  
1

2




59.  
10  -  
1

3





Add or subtract. Write the answer in simplest form.
60.  
10

15
  -  
3

10




61.  
5

6
  -  
1

2




62.  
4

8
  +  
6

7





Add or subtract. Write the answer in simplest form.
63.  
3
1

3
  -  
4

9




64.  
5
3

4
  +  
9

17




65.  
10
1

5
  +  9
6

7





 

Key #2
aKey #2
Solve. Write the answer in simplest form.
66.  
4

19
  +  
12

15
  =  m  +  
36

95




67.  
1

2
  +  7
7

9
  =  p  +  5
9

18





Solve. Write the answer in simplest form.
68.  
f  ÷  
1

3
  =  
7

3




69.  
5
2

8
  ÷  x  =  
7

11





Complete.
70.   It seemed like the graduation speech would last forever. Ethan leaned over to his father and asked in a discreet whisper, ''what time is it now?'' His father told him it was a third of an hour after the last time he asked. If it was 2:46 p.m. the last time he asked, what time is it now?

71.   Mr. Blake is preparing to give some land to his grandchildren. He has eight grandchildren and one hundred ninety-five acres of land to give away. He wants to give them all an equal amount. How many acres should each grandchild get? (state your answer as a mixed fraction)


Complete.
72.  
Identify two fractions whose sum is
5

4
and whose difference is
1

4
.


73.   An algorithm is a known series of steps that is used to solve a mathematical problem (or any other kind of problem for that matter). Write a step-by-step procedure (an algorithm) for multiplying two fractions.


 


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