Fraction/Decimal/Percent Conversion

Fraction/Decimal/

Percent Conversion

To Convert Fractions to Decimals

• To go from a fraction to decimal you divide the top by the bottom.

• Think about the fraction bar as a division sign. (Top divided by bottom).

• To solve $\frac{4}{5}$  you would do 4  $\div$  5 which equals 0.8. 

Multiple Choice

What is  $\frac{5}{8}$   as a decimal?

• 5.8

• 0.58

• 0.625

• Not possible

Multiple Choice

What s  $\frac{12}{27}$  as a decimal?

• 0.444

• 0.4

• 0.27

• 0.12

To Convert Decimals to Fractions

• You write it like you say it.

• You would say 0.7 as "seven tenths" so you write it as  $\frac{7}{10}$  

• You would say 0.685 as "six hundred eighty five thousandths, so you would write it as  $\frac{685}{1000}$  . 
  
  

• You would then simplify to get $\frac{137}{200}$  

Multiple Choice

How would you say 0.65

• Sixty five tenths

• Sixty five hundredths

• Sixty five thousandths

• Sixty five oneths

Multiple Choice

What is 0.8 as a simplified fraction?

• $\frac{8}{10}$

• $\frac{4}{5}$

• $\frac{8}{100}$

• $\frac{2}{25}$

Multiple Choice

What is 0.74 as a simplified fraction?

• 74/100

• 74/1000

• 37/500

• 37/50

To Convert a Decimal to a Percent

• When you are converting to a percent you move the decimal to the RIGHT two places. (You are also multiplying by 100).

• You can remember this by remembering that because percent has an "R" in it, you move the decimal to the right.

• For example 0.65 becomes 65 percent.

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Multiple Choice

What is 0.37 as a decimal?

• 3.7%

• 0.0037%

• 37%

• 370%

To Convert a Percent to a Decimal

• When you are converting to a decimal from a percent you move the decimal to the LEFT two places. (You are also dividing by 100).

• You can remember this by remembering that because decimal has an "L" in it, you move the decimal to the left.

• For example 70% becomes 0.70

• IF YOU DO NOT SEE THE DECIMAL IT IS TO THE LEFT OF THE NUMBERS.

• ex. 70. or 543.

Multiple Choice

What is 68% as a decimal?

• 0.68

• 6.8

• 68.

• 0.068

Converting Fractions to Percents

• To convert a fraction to a percent you convert the fraction to a decimal (top divided by bottom) and then convert that decimal to a percent by moving the decimal to the RIGHT two places.

• For example  $\frac{9}{12}$   as a decimal is 0.75

• 0.75 as a percent is 75%

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Multiple Choice

What is  $\frac{13}{20}$  as a percent?

• 13%

• 650%

• 0.13

• 65%

Converting Percents to Fractions

• Percent means "part of 100".

• This means that every percent gets put over 100.

• 40% becomes  $\frac{40}{100}$  

• When you simplify it becomes  $\frac{2}{5}$  

Multiple Choice

What is 48% as a simplified fraction?

• $\frac{12}{25}$

• $\frac{4}{8}$

• $\frac{40}{80}$

• $\frac{24}{50}$