Fractions, Decimals, Percent's

Fractions, Decimals, Percent's

December 7-11: I can understand the relationship between fractions, decimals, and percents. I can convert between fractions, decimals, and percents.

December 14/15: I can convert fractions, decimals, and percents independently and show mastery on IXL.

FRACTIONS!

• Have numerators and denominators

• Can be simplified using division and increased using multiplication

• Can be used as a way to represent division

Multiple Choice

The fraction

 $\frac{4}{5}$  is the same as 

• 5  $\div$  4

• 4  $\div$  5

DECIMALS!

• Uses a decimal point ( . ) to seperate whole numbers from decimals

• Involves place value

• Used for money

• Used to show part of a whole

Multiple Choice

 0.7129
Which number is in the tenths place?

• 9
• 2
• 7
• 1

Multiple Choice

263.709

Which number is in the hundredths place?

• 2

• 9

• 0

• 7

PERCENTS!

• means per 100

• All percents can be written as a fraction using 100 as the denominator

• Used for grades and talking about groups of people (surveys, elections)

• 
  

Multiple Choice

Write 93% as a fraction!

• 100/93

• .93

• 93/10

• 93/100

Fraction to Decimal

• numerator divided by denominator

• Use your desmos calculator!

• Change 3/5 to a decimal

• 
  

   $3\div5$  

• 0.6

Multiple Choice

Convert 2/25 from a fraction to a decimal

• 2.25

• .25

• .8

• .08

Multiple Choice

Express 2/5 as a decimal.

• 0.2
• 0.4
• 0.5
• 0.7

Decimal to Percent

• multiply the decimal by 100 OR move the decimal two places to the right

• Use your desmos calculator!

• Change 0.86 to a percent 

• 0.86 x 100

• 86%

• Don't forget the percent sign! (%)

Multiple Choice

Change this decimal to a percent: 
0.52

• 52%
• .52%
• 5.2%
• .052%

Multiple Choice

Write 0.14 as a percent.

• 1.4%
• 140%
• 14%
• 0.14%

Percent to Fraction

• Requires you to simplify - use division to make a fraction smaller

• Use your desmos calculator!

• Change 90% into a fraction!

• Place the percent over 100  $\frac{90}{100}$  

• SIMPLIFY!

•  $\frac{90}{100}\div\frac{10}{10}=\frac{9}{10}$  
  

Percent to Fraction

• Requires you to simplify - use division to make a fraction smaller

• Use your desmos calculator!

• Change 64% into a fraction!

• Place the percent over 100  $\frac{64}{100}$  

• SIMPLIFY!

•  $\frac{64}{100}\div\frac{4}{4}=\frac{16}{25}$  
  

Multiple Choice

Write 35% as a fraction IN SIMPLEST FORM.

• 35/100
• 7/20
• 3/5
• 5/3

Multiple Choice

Write 76% as a fraction in simplest form.

• 19/50
• 19/25
• 25/38
• 38/50

Advanced fractions, decimals, and percents!

Two-step problems!

Convert 4/5 to a percent!

• Follow the triangle, start at fraction and convert to a decimal

•  $4\div5=0.8$  
  

• Change the decimal to a percent!

• Move the decimal two spaces to the right OR multiply by 100

• 0.8 x 100 =80%

• Dont forget your % sign!

Multiple Choice

Write 3/5 as a percent.

• 3%
• 30%
• 5%
• 60%

Multiple Choice

Write 13/20 as a percent

• 13%
• 20%
• 65%
• 26%

Convert 0.75 to a fraction!

• Follow the triangle, start at decimal and convert to a percent 

• 0.75 x 100 = 75% or move two places to the right

• Change the percent to a fraction!

•  $\frac{\%}{100}=\frac{75}{100}$  
  

• SIMPLIFY!

•  $\frac{75}{100}\div\frac{25}{25}=\frac{3}{4}$  
  

Multiple Choice

Convert 0.40 to fraction

• 2/5

• 2/50

• 2/500

• 40

Multiple Choice

What is 0.64 as a fraction in simplest form? 

• 64/100
• 16/25
• 6/4
• 4/6

Convert 23% to a decimal!

• Follow the triangle, start at percent and convert to a fraction

•  $\frac{\%}{100}=\frac{23}{100}$  
  

• Divide the numerator by the denominator to change to a decimal

•  $23\div100=0.23$  

Multiple Choice

What is 42% expressed as a decimal?

• 0.42
• 4.2
• 42
• 0.042

Multiple Choice

Convert 25% to a decimal.

• 0.4
• 0.04
• 2.5
• 0.25