Academic Worksheet 5.1 – Day 1
Tell whether the number is a terminating decimal or a repeating decimal.
2. 65.65
3. 0.333
1. 1.72̅
4.
Show that the number is rational by writing it as a quotient of two integers.
5. 273
6. -86
9
7. 6
8.
10
9. -3400
11
10. 4
14
11.  2
7
20
0.8181 …
1
12
2
12.  8
7
9
Write the fraction or mixed number as a decimal.
13. 
5
18
14.  3
2
11
15.
34
3
Write the decimal as a fraction or mixed number.
17. 0.65
18. 0.04
20. 14.005
21. −5.895
16.  2
9
40
19. −5.28
22. −1.102
Copy and complete the statement using always, sometimes, or never.
23. An integer is __?__ a rational number.
24. A fraction can __?__ be written as a terminating decimal.
25. A repeating decimal is __?__ a rational number.
26. A math book has a thickness of 1
9
inches. A chemistry book has a thickness of 1.6 inches. Which
16
book is thicker?
27. On Monday, a deli takes 250 orders. Of these, 144 are carry-out orders. On Tuesday, it takes 220
orders. Of these, 125 are carry out orders. Which day has the greater fraction of carry-out orders?
Academic Worksheet 5.1 – Day 2
Write the decimal as a fraction or mixed number.
1. 6.14
2. −8. 4̅
3.
143. 1̅
4. 1.555
5.
̅̅̅
7. 3. ̅76
8. −2.375
̅̅̅̅
0. 41
̅̅̅
6. 9. ̅12
̅̅̅
9. −1. ̅36
Order the numbers from least to greatest.
10. 0.685 ,
13 1
17
, , 0.6 ,
20 2
25
2
11. 
6
27
,  0.55 ,  0.5 , 
50
11
5
7
12. Susan lives 3 mile from school, Robin lives 8 mile from school, and Sam lives 10 mile from school. Write
each fraction as a decimal. Who lives the farthest from school?
13. You have a rope that is 4
longer rope?
1
1
feet long. Your friend has a rope that is 1 yards long. Who has the
3
2
Academic Worksheet 4.3
Tell whether the fraction is in simplest form.
1.
13
39
2.
25
42
3.
15
51
6.
12
46
Write two fractions that are equivalent to the given fraction.
4.
7
16
5.
22
34
Write the fraction in simplest form.
7.
39
52
8.
45
72
9.
35
42
10.
14
63
11. You spend 3 hours every day practicing the piano. What fraction of a day do you spend practicing the
piano? Give your answer in simplest form.
12. You and a friend are taking a 300-mile car trip. You have already traveled 120 miles.
a. What fraction of the trip has been completed? Give your answer in simplest form.
b. What fraction of the trip is left? Give your answer in simplest form.
Write the fraction in simplest form.
13.
135mn 4
50n 2
16. Write the fractions
14.
63v 4 r
25r 2
15.
28 g 3 h
56 g 3 h 2
39
26
and
in simplest form. Tell whether they are equivalent.
72
48
17. Tell what value of 𝑥 makes the fractions
5
x
and
equivalent.
6
24
Academic Worksheet 5.2
Find the sum or difference.
34  12 
  
43  43 
1
11
5. 3  7
15
15
1
9

10 10
7
9
4. 8  3
10
10
1.
17 19

50 50
11 15
6.  4

16 16
3.
2.

Simplify the expression.
7.
19 x x

28 28
8.

9
17

14 x 14 x
9.

4 x 41x

45 45
10.
8
3  4 

  
5x 5x  5x 
Evaluate the expression.
11.
5 7  3
   
8 8  8
12. 
14. You run the 60-yard dash in 7
7 4 2
 
9 9 9
13. 
9 11  3 

  
20 20  20 
9
19
seconds. Your friend runs it in 6
seconds. How much faster is
20
20
your friend’s time?
15. Three puppies weigh 1
1
3
15
pounds, 1 pounds, and
pound. You are carrying all three in a basket.
16
16
16
Find the total weight of the three puppies.
16. You have a piece of wood that is 7
one piece that is 4
3
7
feet long. You want to cut one piece that is 3 feet long and
4
12
1
feet long. Do you have enough wood? Explain.
12
Academic Worksheet 5.3
Find the sum or difference.
1.

4
7

15 25
2.
5  7
  
16  12 
Find the sum or difference.
3.
4
7
1
5
15
5
4. 8
11
9
4
12
10
5.
4
7
7
9
10
15
6.
3 
2
 8   7 
7 
9
Simplify the expression.
7.
d d

4 12
8.
5a  a 
  
7  14 
1
8
9.
3x 7 x

8 12
11. A baby weighs 7 pounds at birth. After four months, the baby weighs 15
10. 
a a

6 18
2
pounds. How much
3
weight did the baby gain?
12. In a bag of marbles,
2
2
are red, are green, and the rest are blue. What fraction of the marbles are
5
7
blue?
1
inches. The ice sculpture begins to melt and after
4
7
several hours, the height has decreased by 8 inches. What is the current height of the sculpture?
16
13. An ice sculpture originally has a height of 74