Fraction/Decimal Percent Conversions

Fraction/Decimal Percent Conversions

To convert Fractions to Decimals

• To go from a fraction to a 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

• 0.625

• 0.58

• Not possible

Multiple Choice

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

•  $0.\overline{444}$  

• 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  $\frac{137}{200}$  .

• Notice that 0.685 has 3 digits after the decimal. 1000 also has 3 zeros. So, a hint is to be sure the number of digits AFTER the decimal is the same as the number of zeros in the denominator (before simplifying).

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?

• $\frac{8}{10}$

• $\frac{8}{100}$

• $\frac{4}{5}$

• $\frac{2}{25}$

Multiple Choice

What is 0.74 as a SIMPLIFIED fraction?

• $\frac{74}{100}$

• $\frac{74}{1000}$

• $\frac{37}{500}$

• $\frac{37}{50}$

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).

• For example: 0.65 becomes 65%.

Multiple Choice

What is 0.37 as a percent?

• 3.7%

• 37%

• 0.0037%

• 0.37%

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).

• For example, 70% becomes 0.70

• IF YOU DO NOT SEE THE DECIMAL (in the percent), IT IS UNDERSTOOD TO BE TO THE RIGHT of the number.

• For example: 70% has a decimal at the RIGHT 70.%

• Also, 543% has a decimal at the RIGHT 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, FIRST convert the fraction to a decimal (top divided by bottom). THEN, convert that decimal to a percent by moving the decimal to the RIGHT two places.

• For example  $\frac{9}{12}$   as a decimal would be 0.75.

• 0.75 as a percent is 75%

Multiple Choice

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

• 13%

• 0.13

• 650%

• 65%

Converting Percents to Fractions

• Percent means "part of 100".

• This means that every percent get put OVER 100.

• 40% becomes $\frac{40}{100}$  

• Then, simplify by dividing both top and bottom by 10 to get  $\frac{4}{10}$  .

• Simplify even more by dividing both top and bottom by 2 to get  $\frac{2}{5}$  .

Multiple Choice

What is 48% as a SIMPLIFIED fraction?

• $\frac{12}{25}$

• $\frac{40}{80}$

• $\frac{4}{8}$

• $\frac{24}{50}$