1. MATH CHAPTER 14 fractions and decimals
4TH GRADE

2. greater tenth hundredth
decimal point less
1. One of ten equal parts of a whole in one ___.
2. A dot used to separate dollars from cents or ones from tenths in a number is called a ___.
3. One part of 100 equal parts of a whole is one ___.
4. The number 3,704 is ___ than the number 3,407.

3. Write the decimal and fraction for each shaded part.

4. What is the rule? Complete the table.7 49 10 70 15

5. Jordan wants to go to his friends house (F)
Jordan wants to go to his friends house (F). Jordan’s house is marked with a star. How far is it to his friend’s (F) house? F
BLOCKS

6. Which are equivalent fractions?

7. Which are multiples?

8. Write the decimal.

9. Write each fraction in simplest form.
2/8
3/3
5/10
3/12
5/15
6/9
8/10
6/16
4/10
5/20
50/100
20/80
21/28
12/15
25/30
12/20
8/18
28/50
21/33
8/40

10. Write each fraction as a decimal or decimal as a fraction.
6/10
0.08
33/100
0.500
40/10
6/1
9/100
0.03
0.85
1.02
75/100
3/4

11. Write each decimal in word form.
0.15
0.08
0.37
0.65
0.002
0.154
1.35
0.250
4.001

12. Equivalent Fractions and Decimals
9 = 1 x 25 = 25
36 = 4 x 25 = = 0.25
2/5
9/20
1/25
4/20
7/500
3/12
9/18
3/200
5/25
7/20
12/16
13/50

13. Write each fraction as a decimal.
3/15
2/4
6/16
3/20
2/8
9/50
1/25
4/20
3/200
5/25
7/20
4/8
13/20
10/25
16/20
12/16
7/250
13/50
24/30
1/2

14. batting average as a fraction Now write it as a decimal.
Jane got 24 hits out of 40
times at bat. What is her
batting average as a fraction
in simplest form?
Now write it as a decimal.

15. The model below represents 1 whole
The model below represents 1 whole. Mary says that the shaded part of the model shows that 70/100 = 0.07
Is she correct? Explain.

16. A band has 20 instruments. Tyler says that 2/5 of the instruments are string instruments and of the instruments are wind instruments. Does the band have the same number of wind instruments and string instruments? Explain.

17. once. How many different 4
Joel wrote a 4 digit
number. He used each of
the digits 1, 3, 5, and 7 only
once. How many different 4
digit numbers can Joel
write?

18. The cell phone was invented many years ago was the cell
in Sweden in How
many years ago was the cell
phone invented?

19. Write a fraction in simplest form with an equivalent
decimal to show what part of
a dollar 5 cents represents.

20. Nine of the 12 students in the school play are fourth
graders. What fraction and
equivalent decimal represents
the part of students that are
fourth graders?

21. her paper route. She delivers newspapers every day. How
Helga has 37 customers on
her paper route. She delivers
newspapers every day. How
many newspapers does she
deliver in one week?

22. Bryon’s score on a 5 point
quiz was 4 out of 5, or 4/5.
Write 4 out of 5 as a
decimal.

23. Solve for z Z + 22 = 24 Z – 19 = 24 Z x 4 = 32 Z 9 = 4 15 z = 24
= 1

24. Round each decimal to the nearest tenth.
9.64
1.05
5.52
16.67
87.24
3.529
6.21
17.868
9.13
2.781
4.75
2.501
5.275
1.29
3.74

25. Find the sum. Check your answer.
9 + 3,
17, ,781
, , 275 ,

26. Find the value of W.
20 = W - 68
W = 9
W x 6 = 42
W – 12 = 50

27. TRUE or FALSE The expression 101 – 25 equals 76
The product of 4 and is closer to 2,400 than 2,800
The sum of and is less than 400
The quotient of 0 divided by 1 is 1
The product of 5 and 45 is 25 more than 200
The difference of and is greater than 600

28. Fractions and Decimals on the Number Line What fraction is a point Q
l l l l l l l
What fraction is a point Q Q

29. Name the decimal on the number line.
l l l l l l l l l

30. What numbers are at Points R ?
l l l l l l l l
l l l l l l l l R R

31. Where would you locate 1.15 on this number line?
What is located at Point C?
What is located at Point F?
l l l l l l l l l l
C F

32. Identify the value of each Point below.
J K L M N
l l l l l l l l l l J. K. L. M. N.

33. Name the fraction that should be written at each Point.
V W X Y Z
l l l l l l l l
/ /10

34. Which point on the number line represents the same point as Point Z?
l l l l l l l l l
l l l l l l l l l l l Z

35. Frank walked 4/5 of a mile to the library
Frank walked 4/5 of a mile to the library. What is the distance as a decimal?
0.4
0.45
0.54
0.8

36. Find the missing operation and the missing variable for each.
72 __ y = 8
6 __ z = 30
8 __ b = 56
54 __ m = 6
3 __ t = 21
64 __ a = 8
28 __ k = 4
6 __ v = 36
5 __ r = 40
49 __ e = 7

37. buy a pair of jeans that costs
David has $34. He wants to
buy a pair of jeans that costs
$37. How much more money
does David need?
$34 ___ $ J = $37

38. invitations to mail. She mailed some to her friends. If 24 invitations
Lorna had 37 birthday
invitations to mail. She
mailed some to her friends.
If 24 invitations
are left, how many stamps
does she need to buy?

39. Edward and Gary are helping pave their patio. They have
42 square patio blocks. If
they stack them in equal
groups of 7 blocks, how
many stacks will there be?

40. Juilo’s has a pet rabbit. There were 4 rabbits (kits) in each
litter. Juilo’s rabbit is mother
to 24 rabbits. How many
litters of rabbits were there?
4 ___ K = 20

41. Kelly has 2 ¾ yards of material to make a costume for the school play.
A number like 2 ¾ has a WHOLE
number and a FRACTIONAL part.
2 ¾ is called a MIXED number.
Show a model for 2 ¾.
Change 2 ¾ to a decimal.

42. Write a decimal and a mixed number for the model below.

43. Write a decimal and a mixed number for the model below.

44. Write and equivalent decimal for each mixed number or a mixed number for each decimal.
2 3/100
1 499/1000
3.2
5 17/100
9 3/10
2.117
1.6
1 81/100
4.52
3 67/100
893/1000
7.300

45. It takes Neptune 164. 8 years to revolve once around the sun
It takes Neptune years to revolve once around the sun. Write this decimal as a mixed number.

46. Martin ordered a medium pizza with cheese for $9. Each
additional topping, t, costs $2.
Write an algebraic expression
to represent the cost of a
pizza with t toppings in dollars.

47. produces 4 ½ gallons of milk each day. How much milk is
The average milk cow
produces 4 ½ gallons of milk
each day. How much milk is
this amount written as a
decimal?

48. The Great Owlet Moth has a wingspan of 12. 13 inches
The Great Owlet Moth has a wingspan of inches. Write this number as a mixed number.

49. The tiny harvest
mouse weighs
about ¼ ounce.
What is ¼ in
decimal form?

50. Nelly skated miles farther than the 1 3/5 miles she had skated the day before. Use the number line to show this total distance as a decimal and as a mixed number.
l l l l l l l l l l

51. Patricia biked between 3.5 and 4.0 miles. What distance
in tenths, could she have
skated?
l l l l l l l l l l l l l

52. Fraction or Mixed Number
The table below shows what you might have paid to buy different foreign currencies in a recent year. Write each decimal as a fraction or a mixed number.
CURRENCY
COST IN U.S. DOLLARS
Fraction or Mixed Number
1 British pound
$1.759
1 Canadian dollar
$0.932
1 Mexican peso
$0.089

53. Randy and Tim shared a small apple pie. Randy ate 3/10 and
Tim ate 2/5. What part of the
pie did they eat?
Fraction = _____
Decimal = _____
How much was left for me?
Fraction = _____ Decimal = _____

54. Complete the number line to compare the two distances.
Sara lives 2 ½ miles from the school. Steven lives miles from the school. Who lives closer to the school?
Complete the number line to compare the two distances.
l l l l l l l l l l l l l l

55. You can write a fraction as a decimal
and as a percent.
This floor plan is divided into equal parts. Write the amount of space each section occupies as a fraction, a decimal and a percent.

56. Write 0.80 as a fraction and as a percent.
55% means 55 out of 100
55/100 = 55% = .55
Write as a fraction and as a percent.

57. Write each as a fraction or a decimal or as a percent.
0.47
50/100
0.76
9/100
35/100
0.92
0.41
11/100
0.73 6%
74%
2/100

58. Write the missing fraction, decimal, or percent.
38/100 = __ = 38%
__ = 0.17 = 17%
5/100 = __ = 5%
88/100 = 0.88 = __
74/100 = __ = 74%
2/100 = 0.02 = __
__ = 0.07 = 7%
__ = 0.69 = 69%
45/100 = __ = __%

59. Write each percent as a fraction and as a decimal.4%
81%
49%
97% 6%
18%
39%
54%
22%

60. Could the floor space in a department store be divided this way: Women’s clothing 45%, Children’s clothing 25%, Men’s clothing 30%, and Checkout 15%?

61. Vicky is helping her mother prepare 10 vases of flowers for a wedding
reception. Each vase will contain 3
roses and 8 carnations. How many
of each type of flower will be needed?

62. Tyson’s art club has 100 members.
The teacher assigned groups of students
to work in different mediums.
The grid shows the members in each group.
What percent is in each group?
Clay
Oil
Charcoal
Paper

63. the rest of the grid green. What percent of the grid is
Zachary colors 38/100 of a
100 grid purple. He colors
the rest of the grid green.
What percent of the grid is
shaded green?

64. Wanda surveyed 100 students in our school
Wanda surveyed students in our school. She found that 62/100 of the students plan to go to summer camp this year. What percent of the student don’t plan on attending summer camp?

65. A carrousel takes 2 minutes to make a complete turn
A carrousel takes 2 minutes to make a complete turn. Troy gets on and rides without stopping for the next 12 minutes. How many times will he have returned to the starting point when the ride stops?

66. The Fish and Wildlife Research Institute
in Florida is helping with the recovery
of Kemp’s Ridley Sea Turtles.
How many more turtles in than in 1968? _____
Did the population increase or decrease between 1991
and 2000? ___ Amount of increase or decrease? ___
Were there more or fewer in than in 1991? ____
How many more or fewer? ____
Kemp’s Ridley Sea Turtles
YEAR
FEMALES NESTING
1947
40,000
1968
5,000
1991
200
2000
6,000

67. Which is taller: the trumpetweed or the giant ironweed? _____
HEIGHTS of NATIVE FLORIDA WILDFLOWERS
GIANT IRONWEED
7 FEET
LIZARD TAIL
1 FOOT
TRUMPETWEED
6 FEET
LADY LUPINE
1.5 FEET
TURK’S CAP LILY
9 FEET
Which is taller: the trumpetweed or the
giant ironweed? _____
Which is shorter: the lizard tail or the
lady lupine? _______
Order the wildflowers from tallest to shortest. _______________________________________
Write the height of the lady lupine as a
mixed number. ______

68. Mrs. Wall is planting 7 rows of flowers
Mrs. Wall is planting 7 rows of flowers. She planted 10 flowers in the first row, 8 flowers in the second row, and 6 flowers in the third row. If she continues this pattern, how many flowers will be in the fifth row?

69. There are 4 rabbits named Lenny, Emma, Beau, and Blossom
There are 4 rabbits named Lenny, Emma, Beau, and Blossom. One is orange, one is gray, one is black, and one is spotted. Emma is orange. Beau is not gray. Blossom is spotted. What color is Lenny?

70. Mary, Kristin, Deborah, and Amy met on vacation
Mary, Kristin, Deborah, and Amy met on vacation. They are from New York, Georgia, Nevada, and Maine. Amy is from New York, and Kristin is not from Georgia. If Deborah is from Nevada, where is Mary from?

71. Can you draw a chart to answer the question?
There are 5 people in the Roberts family: Harry, Barb, Roger, Laurie, and Carrie. Their ages are 37, 36, 13, 10, and 5. Barb is the oldest and Carrie is the youngest. Laurie is Harry is not He is older than Roger. How old is Roger?
Can you draw a chart to answer the question?

72. Six dancers want to form a triangle so that the same number of
dancers is on each side.
How should they stand?
Draw a picture to solve.

73. Wendy, Carl, Lauren, and Juan live on
four different streets: Highland, East,
Brook, and Oak. Wendy lives on
Highland, Lauren lives on Oak. Carl
does not live on East. What street
does Juan live on?

74. Scott and his friends are playing volleyball
Scott and his friends are playing volleyball. They made a total of 6 teams. If there are 4 players on each team, how many people are playing volleyball? 4

75. Weddell, von Bellingshausen, Cook, Palmer, and Wilkes each explored Antarctica. Two were British, and one was Russian. Weddell was from the came country as Cook. The other two were from the United States. Palmer and Wilkes were from the same country. Cook was British. Which country was von Bellingshausen from?

76. Vicky has a bag with 6 blue marbles, 4 red marbles, 7 green
marbles, and 8 yellow marbles.
What fraction in simplest form
represents the marbles that are
blue or red?

77. l l l l l l l l l l Reggie’s frog leaped 2.48 feet on
its first leap. What point on the
number line best represents the
point where the frog landed?
W X Y Z
l l l l l l l l l l

78. What is 301/1000 written
as a decimal?

79. Write a decimal, fraction, and a percent to represent the shaded part of this 100 grid.

80. 9 = ___ x ___ = ____ 15 = x = Tamara has 15 sports movies.
Nine out of the 15, or 9/15 of her
movies are about soccer. What
decimal represents 9/15?
9 = ___ x ___ = ____
15 = x =

81. What is another way to write 3.78?
Fraction =
Percent =
Mixed Number =

82. Which number is best represented by Point Y on the number line?
l l l l l l l l

83. decimal and as a fraction?
How is 35% written as a
decimal and as a fraction?

84. Which fraction and decimal is represented in this model?

85. What fraction and decimal are best represented by Point M on the number line?
/ / /10
l l l l l l l M

86. What fraction is best represented by Point Q on the number line?
l l l l l l

87. Barb, Grace, John, and Eva all attend Oaks Academy
Barb, Grace, John, and Eva all attend Oaks Academy. They each get to school a different way. They come by bus, walking, bike, or in a car. Barb walks to school. Grace does not come in a car. If John rides the bus, how does Eva get to school?

88. What decimal is shown in the grids below?

89. Of the 25 students in Emil’s class, 9 have dogs
Of the 25 students in Emil’s class, 9 have dogs. So 9/25 of the students have dogs. What decimal represents 9/25? Explain.