Dividing Fractions
Dividing Fractions
Ex) Rhiannon is planning to make friendship bracelets for her friends.
Each bracelet is made with a piece of string that is 1/8 m in length. How
many bracelets can she cut from a piece of string that is 3 m long?
Dividing Fractions
Ex) Rhiannon is planning to make friendship bracelets for her friends.
Each bracelet is made with a piece of string that is 1/8 m in length. How
many bracelets can she cut from a piece of string that is 3 m long?
Fractions may look different, but remember they are still numbers. We
should still think of division in the same way.
Dividing Fractions
Ex) Rhiannon is planning to make friendship bracelets for her friends.
Each bracelet is made with a piece of string that is 1/8 m in length. How
many bracelets can she cut from a piece of string that is 3 m long?
Fractions may look different, but remember they are still numbers. We
should still think of division in the same way. Here, we are trying to figure
out how many times one number will fit into another number.
Dividing Fractions
Ex) Rhiannon is planning to make friendship bracelets for her friends.
Each bracelet is made with a piece of string that is 1/8 m in length. How
many bracelets can she cut from a piece of string that is 3 m long?
Dividing Fractions
Ex) Rhiannon is planning to make friendship bracelets for her friends.
Each bracelet is made with a piece of string that is 1/8 m in length. How
many bracelets can she cut from a piece of string that is 3 m long?
1
3
8
Dividing Fractions
Ex) Rhiannon is planning to make friendship bracelets for her friends.
Each bracelet is made with a piece of string that is 1/8 m in length. How
many bracelets can she cut from a piece of string that is 3 m long?
1
3
8
3 1
 
1 8
Dividing Fractions
Ex) Rhiannon is planning to make friendship bracelets for her friends.
Each bracelet is made with a piece of string that is 1/8 m in length. How
many bracelets can she cut from a piece of string that is 3 m long?
1
3
8
3 1
 
1 8
3 8
 
1 1
Dividing Fractions
Ex) Rhiannon is planning to make friendship bracelets for her friends.
Each bracelet is made with a piece of string that is 1/8 m in length. How
many bracelets can she cut from a piece of string that is 3 m long?
1
3
8
3 1
 
1 8
3 8
 
1 1
Invert and Multiply !!!
Dividing Fractions
Ex) Rhiannon is planning to make friendship bracelets for her friends.
Each bracelet is made with a piece of string that is 1/8 m in length. How
many bracelets can she cut from a piece of string that is 3 m long?
1
3
8
3 1
 
1 8
3 8 24
  
1 1 1
Dividing Fractions
Ex) Rhiannon is planning to make friendship bracelets for her friends.
Each bracelet is made with a piece of string that is 1/8 m in length. How
many bracelets can she cut from a piece of string that is 3 m long?
1
3
8
3 1
 
1 8
3 8 24
  
 24
1 1 1
Dividing Fractions
Ex) Rhiannon is planning to make friendship bracelets for her friends.
Each bracelet is made with a piece of string that is 1/8 m in length. How
many bracelets can she cut from a piece of string that is 3 m long?
1
3
8
3 1
 
1 8
3 8 24
  
 24
1 1 1
Rhiannon can make 24 bracelets from a 3 m rope.
Dividing Fractions
1
8
NOTE :
and are called reciprocals.
8
1
Dividing Fractions
1
8
NOTE :
and are called reciprocals.
8
1
DEFINTION: Two num bersare reciprocals of each other if
they have a productof 1 when they are m ultipliedtogether.
Dividing Fractions
1
8
NOTE :
and are called reciprocals.
8
1
DEFINTION: Two num bersare reciprocals of each other if
they have a productof 1 when they are m ultipliedtogether.
1 8 8 1
   1
8 1 8 1
Dividing Fractions
Ex) Divide.
15 5

22 6
Dividing Fractions
Ex) Divide.
15 5

22 6
15 6


22 5
Dividing Fractions
Ex) Divide.
15 5

22 6
15 6


22 5
Invert and Multiply !
Dividing Fractions
Ex) Divide.
15 5

22 6
15 6


22 5
15 and 5 have a common factor.
Dividing Fractions
Ex) Divide.
15 5

22 6
15 6


22 5
Divide them both by 5.
Dividing Fractions
Ex) Divide.
15 5

22 6
15 6


22 5
3 6


22 1
Dividing Fractions
Ex) Divide.
15 5

22 6
15 6


22 5
3 6


22 1
22 and 6 have a common factor.
Dividing Fractions
Ex) Divide.
15 5

22 6
15 6


22 5
3 6


22 1
Divide them both by 2.
Dividing Fractions
Ex) Divide.
15 5

22 6
15 6


22 5
3 6


22 1
3 3
 
11 1
Divide them both by 2.
Dividing Fractions
Ex) Divide.
15 5

22 6
15 6


22 5
3 6


22 1
3 3
 
11 1
Dividing Fractions
Ex) Divide.
15 5

22 6
15 6


22 5
3 6


22 1
3 3 9
  
11 1 11