Percents as Fractions and Decimals

Percents as Fractions and Decimals

Before you start... GET PAPER & PENCIL!!

You need to read the information carefully and WRITE DOWN THE WORK! The goal is to get the questions correct by taking your time.

What is a Percent?

• Percent is a special ratio compared to 100

• Fractions, Decimals and Percents can all be equal ways of saying the same value.

• Today we will practice changing from percents to fractions to decimals.

Percent to Fraction

• Percent is a ratio out of 100

• 25 % =    $\frac{25}{100}$  

• Put the Percent in the numerator of a fraction. 

• You can simplify the fraction too!

•  $\frac{25}{100}\ \ \ =\ \ \frac{1}{4}$  

Multiple Choice

What is 35% as a fraction?

•  $\frac{35}{100}$  

•  $\frac{3.5}{100}$  

•  $\frac{35}{50}$  

•  $\frac{3}{5}$  

Multiple Choice

What is 60% as a fraction in SIMPLEST FORM?

•  $\frac{6}{10}$  

•  $\frac{60}{100}$  

•  $\frac{3}{5}$  

•  $\frac{6}{1}$  

Multiple Choice

What is 8% as a fraction?

• $\frac{80}{100}$

• $\frac{8}{10}$

• $\frac{8}{100}$

• $\frac{8}{1}$

Percent as a Decimal

• Percent is a ratio out of 100

• 25% =   $\frac{25}{100}$  

  
  

• Twenty-five hundredths or  0.25

Percent as a Decimal

• Percent is a ratio out of 100

• 8% =   $\frac{8}{100}$  

  
  

• Eight hundredths or  0.08

Multiple Choice

What is 43% as a decimal?

• 43.100

• 4.3

• 0.43

• 0.043

Multiple Choice

What is 60% as a decimal?

• 6.0

• 0.6

• 0.06

• 60.100

Percent as a Decimal

• Percent is a ratio out of 100

• 3.5% =   $\frac{3.5}{100}$  

  
  

• Three and half hundredths or thirty-five thousandths or  0.035

Multiple Choice

What is 9% as a decimal?

• 0.09

• 0.9

• 9.100

Multiple Choice

What is 14.5% as a decimal?

• 1.45

• 0.145

• 0.0145

• 14.5

Multiple Choice

How would you show 100% as a decimal?

• 1.00

• 0.100

• 0.0100

• 1.11

Fraction as a Percent

• Remember a percent has a denominator of 100.

• Make an equivalent fraction by multiplying or dividing and so the denominator is 100.

Multiple Choice

What is  $\frac{3}{10}$  as a percent? 

• 300%

• 30%

• 3%

• 0.3%

Multiple Choice

What is  $\frac{2}{5}$  as a percent?

• 2%

• 20%

• 4%

• 40%

Multiple Choice

What is  $\frac{24}{25}$  as a percent?

• 96%

• 24.25%

• 4%

• 24%

Fraction to a Percent Method 2

• Fractions can also be division problems

• So divide numerator by denominator

• Look at the digits up to the hundredths place to find the percent

Multiple Choice

What is $\frac{5}{8}$  as a percent?

• 0.625%

• 6.25%

• 62.5%

• 625%

Poll

How well do you understand changing between fractions, decimals, and percents?

• 4, I understand this very well and can teach others

• 3, I understand this well but might get stuck one

• 2, I understand some but need help on some steps

• 1, I need help and don't understand any of these