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 moving the decimal two places to the left

Multiple Choice

What is 51% as a decimal?

• 0.5

• 0.1

• 0.51

• 5.1

Multiple Choice

What is 2.75% as a decimal?

• 275.0

• 27.5

• 0.0275

• 2.75

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 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

Make in to a percent 2.54

• 254%

• .0254%

• 2.54%

• 25.4%

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 must divide up. Horse and rider.

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%

Match

Match the following

• $$\frac{6}{10}$$

• $$\frac{7}{10}$$

• $$\frac{9}{10}$$

0.6 or 60%

0.7 or 70%

0.9 or 90%

• 0.6 or 60%

• 0.7 or 70%

• 0.9 or 90%

Match

Match the following

• $$\frac{3}{8}$$

• $$\frac{5}{8}$$

• $$\frac{7}{8}$$

• $$\frac{1}{10}$$

• $$\frac{3}{10}$$

0.375 or 37.5%

0.625 or 62.5%

0.875 or 87.5%

0.1 or 10%

0.3 or 30%

• 0.375 or 37.5%

• 0.625 or 62.5%

• 0.875 or 87.5%

• 0.1 or 10%

• 0.3 or 30%

Match

Match the following

• $$\frac{1}{5}$$

• $$\frac{3}{5}$$

• $$\frac{2}{5}$$

• $$\frac{4}{5}$$

• $$\frac{1}{8}$$

0.2 or 20%

0.6 or 60%

0.4 or 40%

0.8 or 80%

0.125 or 12.5%

• 0.2 or 20%

• 0.6 or 60%

• 0.4 or 40%

• 0.8 or 80%

• 0.125 or 12.5%

Match

Match the following

• $$\frac{1}{2}$$

• $$\frac{1}{3}$$

• $$\frac{2}{3}$$

• $$\frac{1}{4}$$

• $$\frac{3}{4}$$

0.5 or 50%

0.333333.... or 33.33..%

0.6666666... or 66.66...%

0.25 or 25%

0.75 or 75%

• 0.5 or 50%

• 0.333333.... or 33.33..%

• 0.6666666... or 66.66...%

• 0.25 or 25%

• 0.75 or 75%