Download Separating Fractions

Separating Fractions
I can separate a fraction in more than one way by
using an equation
Big Ideas
• Fractions can be broken down into
parts in different ways.
• Equations can be used to represent the
breakdown of the parts.
Essential Questions
• What is a fraction? How can it be
broken down into different parts?
• What is an equation?
How can it be
used to break down a fraction.
Think back......
• A fraction represents part of a whole.
• Remember when we learned about
adding and subtracting fractions?
• Turn to your shoulder partner and tell
them the steps for adding and
subtracting fractions.
• Did you say......
• you add or subtract the numerators
and the denominator remains the
same?
Breaking Fractions
Down
• Remember that an equation says that
two things are the same using number
symbols, including an equal sign.
• For example: 2 + 3 = 5
• We can use addition to break down or
separate fractions and mixed numbers.
Let’s take a look!
• How would we separate 9/12?
• We break down the numerator so that the
numbers add up to 9, the denominator stays
the same.
• We could add
• 3/12 + 2/12 + 1/12 +1/12 + 1/12 + 1/12 = 9/12
or
• 4/12 + 4/12 + 1/12 = 9/12 or
• 2/12 + 2/12 + 2/12 + 2/12 + 1/12 = 9/12
Keep going.....
• Let’s take a look at another
• What are some ways to separate 6/15?
• We could add:
• 1/15 + 1/15 + 1/15 + 1/15 +1/15 +1/15 =
6/15 or
• 2/15 + 2/15 + 2/15 = 6/15 or
• 3/15 + 2/15 + 1/15 = 6/15
• Can you think of another way to break it
down?
Your Turn
• On your white boards break down each
of these fractions in two different ways:
• 7/9
• 8/10
• 13/15
Wrapping it up.......
• Think in your head.....
• What do we need to remember about the
denominator when separating fractions?
• What do we need to remember about the
numerator?
Improper Fractions
Visual
Mixed Numbers
• A mixed number is a whole number
combined with a fraction.
• For example: 2 is a mixed number.
• Mixed numbers can also be separated
3/4
or broken down.
What would that look
like?
• If we break down 2
3/4
it could look like
this:
• 2 would be broken down into 1 + 1 ,
• 3/4 could be broken into 1/4 + 1/4 + 1/4
• So, 1 + 1 + 1/4 + 1/4 + 1/4 = 2
3/4
Can We Break it
Down Another Way?
• Yes!!
• 2 can also be broken down into
• 1 + 1 + 2/4 + 1/4 = 2
3/4
3/4
Another One
• How could we break down 3 ?
• 1 + 1 + 1 + 2/8 + 2/8 + 2/8 + 1/8 = 3
7/8
or
• 1 + 1 + 1 + 3/8 + 3/8 + 1/8 = 3
7/8
7/8
Another one...
•4
• 1 + 1 + 1 + 1 + 2/9 + 1/9 = 4 or
• 1 + 1 + 1 + 1 + 1/9 + 1/9 + 1/9 = 4
3/9
3/9
3/9
Get those White
Boards Ready!
• Now it is your turn:
•3
•2
•1
•4
8/9
6/7
4/5
2/5
Independent Practice
• Fold your paper into 6 sections.
9/16
7/8
8/12
separate into 5 parts separate into 4 parts separate into 2 parts
2 4/8
12/20
3 2/10
separate into 8 parts separate into 5 parts separate into 5 parts