Decimals, Fractions, and Percentages Review

Fractions, Decimals, and Percentages

How do decimals and fractions relate?

fractions and decimals are two ways to show parts of a whole

Remember:

You can use what you know about money to help you relate fractions and decimals

Relating Fractions & Decimals

Students will relate fractions with denominators of 10 or 100 to decimals.

Fractions to Decimals

​Divide the numerator by the denominator

​You may need to round if the decimal

does not terminate or end.

Remember 4 or below leave it alone

5 or higher round up​

Multiple Choice

What is the equivalent of 3/8 writen as a decimal?

• 0.38

• 0.375

• 3.8

• 0.3

Multiple Choice

Express 17/25 as a decimal

• 0.68

• 0.675

• 0.7

• 17.25

Multiple Choice

What is 1/2 written as a decimal?

• 0.5

• .12

• 1.2

• 2

Multiple Choice

What is 1/4 written as a decimal?

• 4

• .14

• 0.25

• 2.5

Multiple Choice

What is 3/4 written as a decimal?

• 3.4

• 0.75

• .34

• 1.25

Multiple Select

What is 1/10 written as a decimal?

• 0.1

• 0.10

• 10

• 1.0

Multiple Choice

write -7/8 as a decimal.

• -0.78
• -0.875

Multiple Choice

What is 19/4 as a decimal?

• 4.75
• 4.5
• 4.3
• 4.4

Decimals to Percents

​Multiply by 100

Add the % sign​

​A percent can be a whole number or a decimal

Multiple Choice

Convert the decimal 4.025 to a percent.

• 4.025%

• 40.25%

• 402.5%

• 0.04025%

Multiple Choice

Convert the decimal 0.875 to a percent

• 8.75%

• 87.5%

• 875%

• 0.00875%

Multiple Choice

Convert the decimal 0.75 to a percent.

• 7.5%

• 75%

• 0.75%

• 750%

Multiple Choice

Convert the decimal 0.08 to a percent.

• 0.8%

• 8%

• 80%

• 0.08%

Multiple Choice

Convert the decimal 0.005 to a percent.

• 0.05%

• 0.5%

• 5%

• 0.005%

Multiple Choice

Convert the decimal 0.33 to a percent.

• 3.3%

• 33%

• 0.33%

• 330%

Multiple Choice

Write the decimal as a percent. 
0.37

• 37%
• 3.7%
• .37%

Multiple Choice

Turn this decimal into a percent:

0.006

• 60%

• 6%

• 0.6%

• 0.06%

Percent to Decimal

​Remove the % sign

Divide by 100​

Be careful moving your decimal

Percent to Decimal

Divide by 100 to put the number in the 100ths place.

This will move the decimal 2 places to the left.

It will always move exactly 2 places!

Multiple Choice

Convert 18.75% to a decimal

• 1875

• 0.01875

• 1.875

• 0.1875

Multiple Choice

Convert 3.5% to a decimal

• 0.035

• 0.0035

• 350

• 35

Multiple Choice

Change 2% to a decimal.

• 2

• 0.2

• 20

• 0.02

Explanation Slide...

To convert from a percent to a decimal, remove the percent sign and move the decimal point 2 places to the left. (Note: insert extra "0's" as needed)

Multiple Choice

Change 25% to a decimal.

• 0.25

• 2.5

• 250

• 25

Explanation Slide...

To convert from a percent to a decimal, remove the percent sign and move the decimal point 2 places to the left. (Note: insert extra "0's" as needed)

Multiple Choice

Change 18% to a decimal.

• 1.8

• 18

• .18

• 180

Explanation Slide...

To convert from a percent to a decimal, remove the percent sign and move the decimal point 2 places to the left. (Note: insert extra "0's" as needed)

Multiple Choice

Convert 3.5% to a decimal.

• .035

• 350

• .35

• 35

Explanation Slide...

To convert from a percent to a decimal, remove the percent sign and move the decimal point 2 places to the left. (Note: insert extra "0's" as needed)

Multiple Choice

Convert 15% into a decimal

• 1.5

• .15

• 15

• 150

Explanation Slide...

To convert from a percent to a decimal, remove the percent sign and move the decimal point 2 places to the left. (Note: insert extra "0's" as needed)

​Percent to Fraction

​Percent to a Fraction

​Remove the % sign

Place over 100

Simplify​

Start small when simplifying if necessary

Multiple Choice

Express 32% as a fraction in simplest form

• 32/100

• 8/25

• 16/50

• 100/32

Multiple Choice

Express 5% as a fraction in simplest form

• 5/10

• 1/2

• 5/100

• 1/20

Multiple Choice

Which fraction is equivalent to 2%?

• 1/2
• 1/5
• 1/50
• 1/500

Multiple Choice

 True/False: 8%= $$\frac{8}{100}$$  

• True

• False

Multiple Choice

Write 50% as a fraction.

• $$\frac{5}{10}$$

• $$\frac{1}{2}$$

• $$\frac{50}{100}$$

• All are correct

• None are correct

Match

Match the following percents to fractions.

• 50%

• 26%

• 44%

• 86%

• 96%

20/40

13/50

11/25

43/50

24/25

• 20/40

• 13/50

• 11/25

• 43/50

• 24/25

Multiple Choice

If Johnny gets 17 out of 18 on his quiz what percentage grade does her recieve?

• 92%

• 94%

• 96%

• 98%

Match

Match the following fractions to their percentages.

• $$\frac{3}{10}$$

• $$\frac{1}{4}$$

• $$\frac{1}{3}$$

• $$\frac{1}{5}$$

• $$\frac{2}{3}$$

30%

25%

33%

20%

67%

• 30%

• 25%

• 33%

• 20%

• 67%

Multiple Choice

Change 3//8 's to a decimal

• 0.38

• 0.0375

• 0.375

• 2.67

Multiple Choice

Write the percent as a decimal.

7%

• 0.70

• 0.07

• 7.0

• .7

Multiple Choice

Write 19/25 as a percent.

• 19%
• 25%
• 76%
• 50%

Multiple Choice

Write the percent as a decimal:
217%

• .0217
• 0.217
• 2.17
• 21.7

Multiple Choice

0.81% written as a decimal is... 

• 81
• 0.81
• 0.0081
• 0.081

Multiple Choice

What is 12/100 as a percentage?

• 24 %
• 12 %
• 50 %
• 99 %

Multiple Choice

What is 34 % as a decimal?

• 0.34
• 0.034
• 3.4
• 3.0034

Multiple Choice

Which expresses the fraction ⅔ as a decimal?

• 2.3
• 0.3
• 0.6
• 0.6666...

Multiple Choice

Change this decimal to a percent.
0.528

• 528%
• 52.8%
• 5.28%
• 52%

Multiple Choice

Write in fraction form.

• 3/10
• 3/100
• 3/97
• 30/10

Multiple Choice

What is the fraction equivalent of 40%?

• 4/100
• 2/5
• 2/50
• 40/1000

Multiple Choice

Convert 4/5 to a percent.

• 45%
• 4.5%
• 80%
• 8%

Multiple Choice

How do you change a fraction to a decimal?

• Add
• Subtract
• Multiply
• Divide

Multiple Choice

Which number is equivalent to 0.08?

• 0.0008%
• 0.08%
• 80%
• 8%

Multiple Choice

Charlie got 18 out of 25 questions correct on his test. How can Charlie's grade be written as a decimal? 

• 0.28
• 0.90
• 0.72
• 0.7

Multiple Choice

Mrs. Spagnuolo's records show that last year 44% of her students bring their own lunch to school. What decimal and fraction represents the students who brought their lunches to school?

• .044 and 11/25

• .056 and 14/25

• .44 and 11/25

• .56 and 14/25

Multiple Choice

Convert 3/5 to a decimal.

• 0.3

• 0.5

• 0.35

• 0.6

Multiple Select

Convert 60% to a fraction.

• 60/100

• 6/100

• 6/10

Multiple Choice

What is 0.37 written as a fraction?

• $$\frac{37}{10}$$

• $$\frac{37}{100}$$

• $$\frac{3}{7}$$

• 0.37

Multiple Choice

What is 0.85 written as a fraction?   

Don't forget to reduce!

• $$\frac{85}{100}$$

• $$\frac{17}{20}$$

• $$\frac{17}{100}$$

• $$\frac{85}{10}$$