Fraction Percent Decimal

Fraction,
Decimal,
Percent
Review

Converting Percents to Fractions

• Every percent has a denominator of 100

• To convert a percent into a fraction, take the percent number and put it over 100

• Remember, it can be written in simplified form also!

Multiple Choice

What is 17% as a fraction?

• $$\frac{1}{7}$$

• $$\frac{7}{100}$$

• $$\frac{8}{50}$$

• $$\frac{17}{100}$$

Multiple Select

What is 75% as a fraction?

Select ALL correct answers.

• $$\frac{75}{100}$$

• $$\frac{25}{50}$$

• $$\frac{3}{4}$$

• $$\frac{4}{5}$$

Converting Decimals to Fractions

• When reading a decimal, make sure to use its official mathematical name!

• Example: 0.1 = "One Tenth, 0.23 = "Twenty Three Hundredths"
  
  

• Write what you say as a fraction

• Don't forget to simplify if possible!

Multiple Choice

What is 0.13 as a fraction?

• $$\frac{3}{1}$$  

• $$\frac{13}{100}$$  
  

• $$\frac{3}{1}$$  

• $$\frac{6}{50}$$  

Multiple Select

What is 0.55 as a fraction?

Select ALL correct answers

• $$\frac{5}{5}$$

• $$\frac{55}{100}$$

• $$\frac{11}{20}$$

• $$\frac{5}{10}$$

Converting Fractions to Decimals

• When converting fractions to decimals, we always divide the numerator by the denominator

• The numerator goes inside the house

• The denominator goes outside the house

Multiple Choice

What is $$\frac{3}{5}$$ as a decimal?

• 0.35

• 0.3

• 0.5

• 0.6

Converting Percents to Decimals

• We know that every percent can be written as a fraction over 100

• We know that every fraction is actually a division problem

• Using this knowledge, we know that we can convert percents to decimals by dividing the percent number by 100.

• *Shortcut* A faster way do to this is to move the decimal point two spaces to the left!

Multiple Choice

What is 51% as a decimal?

• 0.5

• 0.1

• 0.51

• 5.1

Multiple Choice

What is 51.4% as a decimal?

• 0.5

• 0.514

• 0.51

• 5.14

Converting Decimals to Percents

• To convert a decimal to a percent, we just do the opposite of what we did when we converted percents into decimals

• To convert a decimal to a percent, we multiply the decimal by 100

• *Shortcut* A faster way to do this is to move the decimal point two spaces to the right!

Multiple Choice

What is 0.87 as a percent?

• 8.7%

• 870%

• 78%

• 87%

Multiple Choice

What is 0.875 as a percent?

• 87.5%

• 8.7%

• 8.75%

• 87%

Converting Fractions to Percents

• When converting fractions to percents, we have basically two methods.

• If the denominator is already 100, simply put a % after the numerator

• If the denominator is not 100, divide the numerator by the denominator and multiply by 100

Multiple Choice

What is $$\frac{61}{100}$$  as a percent?

• 61%

• 6100%

• 6.1%

• 16%

Multiple Choice

What is $$\frac{10}{25}$$ as a percent? 

• 11%

• 4%

• 40%

• 25%

Multiple Choice

What is $$\frac{7}{8}$$  as a percent?

• 78%

• 87%

• 87.5%

• 7.8%