FDP Review

FDP 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

• Don't forget to simplify if possible!

Multiple Choice

What is 17% as a fraction?

• $\frac{1}{7}$

• $\frac{7}{100}$

• $\frac{8}{50}$

• $\frac{17}{100}$

Multiple Choice

What is 75% as a fraction?

• $\frac{75}{100}$

• $\frac{15}{20}$
  

• $\frac{3}{4}$

• $\frac{4}{5}$

Converting Decimals to Fractions

• When reading a decimal, make sure to use it's 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?

•  $\frac{1}{3}$  

•  $\frac{13}{100}$  
  

•  $\frac{3}{1}$  

•  $\frac{6}{50}$  

Multiple Choice

What is 0.55 as a fraction?

• $\frac{5}{5}$

• $\frac{55}{100}$

• $\frac{11}{20}$

• $\frac{5}{10}$

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

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%

Converting Fractions to Percents

• When converting fractions to percents, we have three levels of problems.

• Level 1: If the denominator is already 100, simply put a % after the numerator

• Level 2: Sometimes the denominator can be multiplied or divided to become 100. Whatever you do to the top must be done to the bottom. 

• Level 3: When the denominator cannot be multiplied or divided to become 100, we use the knife and onion trick. The knife is always the two numbers that are diagonal from each other. The onion is the number that's left over. Multiply by the knife, divide by the onion!

Multiple Choice

Level 1: What is $\frac{61}{100}$  as a percent?

• 61%

• 100%

• 6.1%

• 16%

Multiple Choice

Level 2: What is $\frac{11}{25}$ as a percent? 

• 11%

• 4%

• 44%

• 25%

Multiple Choice

Level 3: What is $\frac{7}{8}$  as a percent?

• 78%

• 87%

• 87.5%

• 7.8%