Equal fractions and simplifying/comparing fractions

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 2

Good morning!

Schedule: 

• Learning outcomes for today
• Last time
• Fraction of the day 
• Equal fractions + simplifying 
• Comparing fractions 

Learning outcomes 

At the end of this lesson I will be able to:

• Convert a fraction to an equal fraction (with a different denominator) 
• Write a fraction in simplest form
• Write a quantity as a fraction of another quantity 
• Determine if a fraction is greater or smaller than another fraction

Last time

Fraction of the day:
What fraction of students watch football?

​2​​1​​

​5​​1​​

​7​​1​​

4/8

4/20

3/21

5/10

5/25

3/12

7/49

Equal fractions

Two fractions are equal if they have the same numerical value. 

They are located on the same point on the number line. 

Equal fractions and simplifying

To simplify you divide by the Highest Common Factor

(make the denominator as small as possible)

​12​​3​​=

​10​​5​​=

​49​​7​​=

Write in simplest form:

​3⋅8​​(4+2)​​=

Comparing fractions

Geogebra

Summarize

If two fractions have the same numerator, the fraction with the

Larger denominator < Smaller denominator

​5​​2​​

​6​​2​​

<

Summarize

If fractions have the same denominator, the fraction with the Larger numerator > Smaller denominator

​13​​10​​

​13​​8​​

>

Comparing fractions

Which one is the larger fraction? 

​18​​3​​

​27​​7​​

(Home)work

p. 107: 5E.1           4ace

p. 108: 5E.2           4cd

p. 109: 5E.3          2, 6, 7

                                    

MyiMaths: 

- Comparing fractions 

- Equivalent fractions 

At least 90%

Comparing fractions

David and Finn each got the same amount of money for their birthday to spend on something they like. 

David spent 4/5 of his money on video games. 

Finn spent 7/9 of his money on video games. 

Who spent more on video games? 

Show your working out!  

Comparing fractions

David and Finn each got €45 for their birthday to spend on something they like. 

David spent 4/5 of his allowance on video games. 

Finn spent 7/9 of his allowance on video games. 

How much did they spend exactly on video games? 

David:                               Finn: