Free Printable Study Guide -Fractions to Decimals to Percents to Words

1.

Convert $\frac{2}{5}$ to a decimal

a)

0.5

b)

0.2

c)

0.4

d)

0.10

2.

Convert $\frac{12}{100}$ to a decimal

a)

0.12

b)

0.25

c)

0.4

d)

0.10

3.

Convert $\frac{8}{1000}$ to a decimal

a)

8

b)

0.008

c)

0.08

d)

0.8

4.

Convert 0.25 to a fraction in simplest form.

a)

$\frac{1}{4}$

b)

$\frac{25}{100}$

c)

$\frac{5}{20}$

d)

$\frac{2}{5}$

5.

Convert $3\frac{2}{5}$ to a decimal.

a)

3.4

b)

3.25

c)

3.2

d)

3.04

6.

The model represents which of the following choices? Select all that apply.

a)

^2.25

b)

^8.1

c)

4.1

d)

2.1

e)

$2\ \frac{1}{4}$

7.

Convert $\frac{9}{20}$ to a decimal.

a)

0.36

b)

0.92

c)

9.20

d)

0.45

8.

What fraction is equivalent to .7?

a)

7/1

b)

7/100

c)

7/10

d)

7

9.

What fraction is equivalent to 1.9?

a)

1 $\frac{9}{10}$

b)

$\frac{19}{1}$

c)

$\frac{19}{100}$

10.

What decimal is equivalent to $\frac{1}{8}$ ?

a)

.12

b)

1.8

c)

.125

d)

8.1

11.

Convert 0.39 to a fraction.

a)

3/9

b)

9/3

c)

39/100

d)

39/10

12.

What is 0.63 as a fraction?

a)

$\frac{63}{10}$

b)

$\frac{63}{100}$

c)

$\frac{63}{1,000}$

d)

$\frac{0}{63}$

13.

What is 0.507 as a fraction?

a)

$\frac{57}{1,000}$

b)

$\frac{507}{1,000}$

c)

$\frac{507}{100}$

d)

$\frac{57}{100}$

14.

Write as a decimal:

\frac{4}{5}

(a)

15.

Write $\frac{8}{20}$ as a percent.

(a)

16.

80% is what fraction?

a)

3/4

b)

4/5

c)

2/3

d)

3/5

17.

3/20

a)

3%

b)

20%

c)

15%

d)

80%

18.

Which doesn't belong?

9/20, 45/100, 45%, 8/45

a)

9/20

b)

45/100

c)

45%

d)

8/45

19.

In 2021, the number of people 55 years and older in Texas was 0.25 of the total population. Express 0.25 as a percent.

(type number & % sign)

(a)

20.

0.08% = 0.008

a)

True

b)

False

c)

cannot de determined because percents have to be greater than 1

21.

Maria said that 2.18 is same as 218%.

Jonah said that 2.18 is same as 21.8%

Hima said that 2.18 is same as 218/100

Kate said that 2.18 is same as 218/1000

Select ALL students that said the TRUE math statements

a)

Maria

b)

Jonah

c)

Hima

d)

Kate

e)

all of them

22.

In a recent U.S. midterm election, 27% of eligible adults voted.

What is 27% written as a decimal?

(a)

23.

0.4 = 4%

a)

True

b)

False

24.

36.05% = 0.3605

a)

True

b)

False

25.

In a recent poll, the number of people wearing glasses grew 0.05 from previous year. Express 0.05 as a percent.

(type number & % sign)

(a)

26.

Write the shaded portion of the model as a decimal.

a)

0.4

b)

0.5

c)

0.1

d)

0.8

27.

Write the shaded portion of the model as a percent.

a)

80%

b)

40%

c)

10%

d)

60%

28.

Write the shaded portion of the model as a percent.

a)

10%

b)

25%

c)

20%

d)

40%

29.

In a recent poll, the number of people wearing glasses grew 0.01 from previous year. Express 0.01 as a percent.

(type number & % sign)

(a)

30.

About 0.4 of Hawaii’s total area is water. What percent is equivalent to 0.4?

(type number & % sign)

(a)

31.

Last year a company made a profit of 113%.

Write a decimal for this percent.

(a)

32.

A bank offers an interest rate of 0.05% on a savings account.

Express 0.05% as a decimal.

(a)

33.

25.9% = 0.259 = 259/100

a)

True

b)

False

c)

cannot be determined

34.

0.1% = 0.001

a)

True

b)

False

35.

What is $\frac{2}{10}$ as a decimal?

(a)

36.

Convert 0.444... to a fraction.

a)

4/10

b)

4.4/99

c)

4/9

d)

2/5

37.

Convert 0.252525... to a fraction.

a)

25/9

b)

25/99

c)

25/100

d)

1/4

38.

Convert 0.769769769... to a fraction.

a)

769/999

b)

769/1000

c)

769/100

d)

769/99

39.

a)

77/25

b)

77/250

c)

308/9

d)

308/999

40.

a)

2 23/100

b)

2 23/10

c)

2 23/9

d)

2 23/99

41.

What is $\frac{2}{9}$ as a decimal?

a)

0.29292

b)

0.2

c)

0.222...

d)

0.29

42.

A ______ decimal is a decimal in which a digit, or a group of digits, repeat(s) infinitely

a)

non-terminating

b)

terminating

c)

repeating

43.

What percent of the model is shaded?

a)

36%

b)

50%

c)

45%

44.

The shaded area represents the part of a wall that is painted. What is the percentage that is painted?

a)

64%

b)

24%

c)

60%

45.

An engine is operating at 25% of its full power. What fraction is equivalent?

a)

2/10

b)

2/8

c)

2/5

46.

Which one is NOT equivalent to the part of the model that is shaded?

a)

33 1/3%

b)

0.33

c)

33.33

47.

In a neighborhood 12/40 of the kids are in middle school. What percent is equivalent to the number of neighborhood kids in middle school?

a)

35%

b)

24%

c)

30%

48.

Carlos walked to school on 14 of the 20 school days in February. Which value is equivalent?

a)

70%

b)

0.07

c)

56%

49.

Dora spent $13 of the $20 in her backpack. What decimal represents the fraction of the $20 Dora spent.

(a)

50.

An Uber driver earned a 17% tip. What decimal is equivalent to 17%?

(a)

51.

A soccer team spent 32% of its budget on new uniforms. What fraction of the budget was spent?

a)

1/32

b)

5/16

c)

8/25

52.

A farmer watered 3/8 of a field. What percent is equivalent?

(a)

53.

El Paso received 0.95 inches rain last week. Which fraction is equivalent?

a)

19/50

b)

19/20

c)

95/10

54.

Students will only be in school 16 out of the 30 days in November. What decimal is equivalent to the fraction of days students will go to school in November?

(a)

55.

A video game is discounted at 40% off its regular price. Which value is equivalent to 40%

a)

1/25

b)

0.004

c)

2/5

56.

There are 150 6th grade students at a middle school and 12 of them are left-handed. What percent of the 6th graders are left-handed?

a)

10%

b)

8%

c)

15%

57.

How would you change 45% to a decimal?

a)

Move the decimal 2 places to the left

b)

Move the decimal 2 places to the right

c)

Move the decimal 3 places to the left

d)

Move the decimal 3 places to the right

58.

2% as a decimal:

a)

0.02

b)

0.2

c)

2

d)

20

59.

120% as a decimal:

a)

1.2

b)

12

c)

0.12

d)

120

60.

10% as a decimal:

a)

0.01

b)

0.1

c)

1.0

d)

10

61.

200% as a decimal:

a)

2

b)

20

c)

200

d)

0.2

62.

Convert 332% to decimal.

a)

3.32

b)

33.2

c)

.332

d)

12.78

63.

Hannah printed 15 pictures from her vacation. She placed 12 of the pictures in a photo album. What percent of the printed pictures did Hannah place in the photo album?

a)

8%

b)

15%

c)

37%

d)

80%

64.

Andrea spelled 18 out of 24 words correctly on a test. What percent of the words did Andrea spell correctly?

a)

18%

b)

24%

c)

65%

d)

75%

65.

Of all students in a class, ⅕ of them walk to school each day. What percent of students in the class walk to school?

a)

1%

b)

5%

c)

15%

d)

20%

66.

On the way home from her friend's house, Sandy skateboards 30% of the way, walks ½ of the way, and then skips the rest of the way. Which decimal number shows the portion of the distance Sandy skips?

a)

0.1

b)

0.2

c)

0.3

d)

0.4

67.

Abe's lacrosse team played 10 games during the season. Of those, Abe played in ⅖ of the games. In what percent of the games did Abe play?

a)

20%

b)

25%

c)

40%

d)

50%

68.

To pass a quiz, scholars need a score of at least 32 points out of a total of 40 points. At least what percent do the scholars need to pass the quiz?

a)

32%

b)

64%

c)

72%
72%

d)

80%

69.

Gabby, Idaly, and Tiffany ran for class president. Gabby won 31% of the votes, Idaly won 0.33 of the votes. If all the scholars in the class voted, which fraction represents Tiffany's portion of the votes?

a)

1/3

b)

9/25

c)

1/2

d)

16/25

70.

A long-distance runner finished a race in 2.75 hours. How is the runner's time expressed as a mixed number?

a)

2 ½ hr

b)

2 7/10 hr

c)

2 75/100 hr

d)

2 75/10 hr

71.

In Pam's neighborhood, 7 out of 25 houses are painted yellow. What percent of the houses are painted yellow?

a)

7%

b)

17%

c)

25%

d)

28%

72.

Of the 360 scholars at a music school, 270 are learning to play a stringed instrument. What percent of the scholars are learning to play a stringed instrument?

a)

40%

b)

60%

c)

75%

d)

80%

73.

Convert 70% to a decimal.

a)

.07

b)

.70

c)

.007

d)

.01

74.

Express 56% as a decimal.

a)

0.056

b)

5.6

c)

0.56

d)

0.0056

75.

Change 4% to a decimal.

a)

.04

b)

.004

c)

.4

d)

4

76.

Convert to a decimal:

$\frac{3}{8}$

a)

0.375

b)

0.325

c)

0.125

d)

0.175

77.

When converting decimals to percents, move the decimal:

a)

Two places to the left.

b)

Two places to the right.

c)

Two places up.

d)

Two places down.

78.

Which percent is represented by the shaded area in the given figure?

a)

3.4%

b)

14%

c)

34%

d)

43%

79.

A percent is a rate that compares a number to

a)

50

b)

75

c)

25

d)

100

80.

Shirley spelled 20 of her 25 spelling words correctly on the test. What percent grade did Shirley get on the test?

a)

40%

b)

50%

c)

80%

d)

60%

81.

0.95 = $\frac{95}{1000}$

a)

True

b)

False

82.

The fraction 853/7 when converted has ____ wholes and a remainder of ___?

a)

120 wholes and remainder of 5

b)

121 wholes and remainder of 6

c)

121 wholes and remainder of 5

d)

120 wholes and remainder of 6

e)

121 wholes and remainder of 8

83.

Which decimal number represents seven hundred ninety-two and five hundredths

a)

792.500

b)

792.05

c)

792.005

d)

792,500

84.

Which number represents six and eighty-four thousandths in standard form?

a)

(6 x 1) + (8 x 1/100) + (4 x 1/1000)

b)

6.84

c)

(6 x 1) + (8 x 1/10) + (4 x 1/100)

d)

6.084

85.

Choose the correct expanded form of 3.704 from your options below.

a)

3 and seven hundred four thousandths

b)

3 + 7 + 4

c)

3 + .7 + .04

d)

(3 x 1) + (7 x 1/10) + (4 x 1/1000)

86.

What equality sign represents the relationship between these decimal numbers?
23.4 ___ 23.40

a)

=

b)

<

c)

>

87.

What answer shows the number fifty-four thousand, one hundred, seventy-nine, and four hundredths.

a)

54,179.04

b)

54,179.4

c)

54,079.04

d)

54,179.004

88.

I walked 5.021 km. What is 5.021 written in expanded form?

a)

(5 X 1) + (3 X 1/100) + (1 X 1/1,000)

b)

(5 X 10) + (2 X 1/10) + ( 1 X 1/100)

c)

(5 X 1) + (2 X 1/100) + (1 x 1000)

d)

(5 X 10) + (2 X 1/100) + ( 1 X 1/1,000)

89.

Which number is equivalent to the expression in the box?

a)

64.560

b)

64.509

c)

64.059

d)

64.359

90.

Which number is represented by (5 x 1/10) + (1 x 1/100) + (8 x 1/1000)

a)

815

b)

.815

c)

.518

d)

8.51

91.

Melissa has sixty-five cents in her pocket. How is sixty-five cents written in standard form?

a)

$0.65

b)

$6.05

c)

$6.50

d)

$60.50

92.

Decompose 9.23

a)

9 + 0.02 + 0.03

b)

900 + 20 + 3

c)

9 + $\frac{2}{10}$ + $\frac{3}{100}$

d)

9+0.2+0.3

93.

Which of the following is a repeating decimal?

a)

2.451836248702165064513549452

b)

7.1245454545454545454545454545

c)

8.125

d)

12.55

94.

Convert the following decimal into a fraction.

0.8\overline{3}

a)

5/6

b)

7/8

c)

9/11

d)

12/14

95.

Write 4/100 as a decimal

a)

.4

b)

.40

c)

.400

d)

.04

96.

If the remainder is 0 we call the decimal ...

a)

Finished

b)

Terminating

c)

Repeating

d)

Cyclical

97.

a)

1/2

b)

1/10

c)

1/100

d)

1/9

98.

What is 32.63 in word form?

a)

thirty two point sixty three hundreds

b)

thirty two wholes and 63 tenths

c)

thirty two and sixty three hundredths

d)

thirty two and sixty three tenths

99.

Which is greater?
5
.05
.5
5.05

a)

5

b)

5.05

c)

.05

d)

.05

100.

2.09
Say this in word form.

a)

two and nine hundreths

b)

two and nine tenths

c)

two and nine hundreds

d)

two and nine tens

e)

twenty-nine hundredths

Study Guide -Fractions to Decimals to Percents to Words

Total questions: 100

Worksheet time: 2hrs 7mins

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