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Put everything away except for scrap
paper , pencil and your laptop.
On my website
Thursday, Oct 9
Lesson 6.4.6
Divide Whole Numbers by Fractions
Divide Whole Numbers by Fractions
Objective: To understand how to divide
whole numbers by fractions.
Divide Whole Numbers by Fractions
To divide a number by a fraction, we first
need to find the reciprocal of the fraction.
Divide Whole Numbers by Fractions
To divide a number by a fraction, we first
need to find the reciprocal of the fraction.
Any two numbers with a product of one are
reciprocals.
Divide Whole Numbers by Fractions
Any two numbers with a product of one are
reciprocals.
What is the reciprocal of 3?
(What number can we multiply 3 by to get 1?)
Divide Whole Numbers by Fractions
Any two numbers with a product of one are
reciprocals.
What is the reciprocal of 3?
(What number can we multiply 3 by to get 1?)
1
3
3 x =1
Divide Whole Numbers by Fractions
What is the reciprocal of 10?
Divide Whole Numbers by Fractions
What is the reciprocal of 10?
10 x
1
10
=1
Divide Whole Numbers by Fractions
1
What is the reciprocal of 8?
Divide Whole Numbers by Fractions
1
What is the reciprocal of 8?
1
8
x 8=1
Divide Whole Numbers by Fractions
To divide by a fraction, multiply by the
reciprocal and simplify.
Divide Whole Numbers by Fractions
Dividing fractions is as
easy as pie,
Just flip the second
fraction and multiply.
Divide Whole Numbers by Fractions
Find.
1
3
2÷
Do this on your own.
Divide Whole Numbers by Fractions
Find.
1
3
2÷
2
1
3
1
6
1
x = =6
Divide Whole Numbers by Fractions
Find.
1
3
2÷
We can also show this with a model.
First, model the dividend, 2.
Divide Whole Numbers by Fractions
Find.
1
3
2÷
We can also show this with a model.
Divide each whole into 3rds.
Divide Whole Numbers by Fractions
Find.
1
3
2÷
We can also show this with a model.
Count the total number of sections.
Divide Whole Numbers by Fractions
Find.
1
3
2÷
Another way of reading this problem is,
How many 1/3 sections will fit into 2?
Divide Whole Numbers by Fractions
Find.
2
3
7÷
Do this on your own.
Divide Whole Numbers by Fractions
Find.
2
3
7÷
7
1
3
2
x =
21
2
= 10
1
2
Divide Whole Numbers by Fractions
Find.
3
4
4÷
Do this on your own.
Divide Whole Numbers by Fractions
Find.
3
4
4÷
4
1
4
3
x =
16
3
=5
1
3
Divide Whole Numbers by Fractions
Find.
2
7
5÷
Do this on your own.
Divide Whole Numbers by Fractions
Find.
2
7
5÷
5
1
7
2
x =
35
2
= 17
1
2
Divide Whole Numbers by Fractions
Find.
4
9
4÷
Do this on your own.
Divide Whole Numbers by Fractions
Find.
4
9
4÷
4
1
9
4
9
1
x = =9
Divide Whole Numbers by Fractions
At summer camp, the duration of a field
hockey game is ¾ of an hour. The camp
counselors have set aside 6 hours for games.
How many games can they play?
Do this on your own.
Divide Whole Numbers by Fractions
At summer camp, the duration of a field
hockey game is ¾ of an hour. The camp
counselors have set aside 6 hours for games.
How many games can they play?
Another way of looking at this:
How many ¾ hour sections can we fit into 6
hours?
Divide Whole Numbers by Fractions
At summer camp, the duration of a field
hockey game is ¾ of an hour. The camp
counselors have set aside 6 hours for games.
How many games can they play?
6÷
2x3
1
3
4
4
3
8
1
x = =8
Divide Whole Numbers by Fractions
At summer camp, the duration of a field
hockey game is ¾ of an hour. The camp
counselors have set aside 6 hours for games.
How many games can they play?
Or……
How many ¾’s add together equals 6?
3
4
3
4
3
4
3
4
3
4
3
4
+ + + + + =6
Divide Whole Numbers by Fractions
Jamar has an 8 foot piece of wood he wants to
cut to build a step stool. If each piece is
going to be 5/6 of a foot long, what is the
greatest number of pieces he will be able to
use?
Do this on your own.
Divide Whole Numbers by Fractions
Jamar has an 8 foot piece of wood he wants to
cut to build a step stool. If each piece is
going to be 5/6 of a foot long, what is the
greatest number of pieces he will be able to
use?
Another way of looking at this:
How many 5/6 foot sections can we fit into an
8 foot board?
Divide Whole Numbers by Fractions
Jamar has an 8 foot piece of wood he wants to cut
to build a step stool. If each piece is going to be
5/6 of a foot long, what is the greatest number of
pieces he will be able to use?
5
6
8÷ =
8
1
6
5
x =
48
5
=9
3
5
He will have 9 full size pieces.
Divide Whole Numbers by Fractions
8
Daniella is solving 9 ÷ 4. Find her mistake and
correct it.
Divide Whole Numbers by Fractions
8
Daniella is solving 9 ÷ 4. Find her mistake and
correct it.
She did not multiply by the
reciprocal of 4.
8
9 ÷4
8
9
x
1
4
= =
8
36
2
9
Divide Whole Numbers by Fractions
The Snack Shack is making a batch of trail mix.
They use 9 1/3 pounds of granola, 9 1/3
pounds of mixed nuts, and 9 1/3 pounds of yogurt
raisins to make the mix. They divide the mix into 14
packages. How much is in each package?
Divide Whole Numbers by Fractions
The Snack Shack is making a batch of trail mix.
They use 9 1/3 pounds of granola, 9 1/3
pounds of mixed nuts, and 9 1/3 pounds of yogurt
raisins to make the mix. They divide the mix into 14
packages. How much is in each package?
1
3
28
3
3
1
9 x 3 = x = 28
28 ÷ 14 = 2 pounds
Divide Whole Numbers by Fractions
Agenda Notes
Homework –
Homework Practice 6.4.6
Due at the end of class
Circle all answers and show all work.
Chapter 6.4 Test -Wednesday, Oct 15
Accum Rev 4 due by Oct 14