# data[].attributes.body
this is somewhere you should ony spend alot of time on IF YOU ARE CAUGHT UP ON ALL ASSIGNMENTS. THIS IS A LIST OF FRACTION GAMES

# data[].attributes.attachment_link.title
Multiplying Fractions by Whole Numbers 9-9

# data[].attributes.attachment_link.description
Today we will multiply a fraction with a whole number. Common Core State Standards 4.NF.4, 4.NF.4a, 4.NF.4b, 4.NF.4c.

# data[].attributes.headline
ADDING SUBTRACTING MIXED NUMBERS AND IMPROPER FRACTIONS  

# data[].attributes.subject
ADDING SUBTRACTING MIXED NUMBERS AND IMPROPER FRACTIONS  

# data[].attributes.body
ONE WAY TO DO IT

# data[].attributes.attachment_link.title
The Butterfly Method for Comparing, Adding and Subtracting Fractions

# data[].attributes.body
COMPARING FRACTIONS WITH DIFFERENT DENOMINATORS

# data[].attributes.headline
EQUIVALENT FRACTIONS QUICK VIDEO SHARING WHAT THEY ARE!  

# data[].attributes.subject
EQUIVALENT FRACTIONS QUICK VIDEO SHARING WHAT THEY ARE!  

# data[].attributes.attachment_link.title
eSpark Learning: Equivalent Fractions Framing Video (4.NF.1 Quest 1)

# data[].attributes.attachment_link.readable_text
Equivalent Fractions have the same value, even though they may look different.
These fractions are really the same:

Why are they the same? Because when you multiply or divide both the top and bottom by the same number, the fraction keeps it's value.
"Change the bottom using multiply or divide,
And the same to the top must be applied"
The rule to remember is:

Here is why those fractions are really the same:

× 2× 2

1

=

2

=

4

2

4

8

× 2× 2

And visually it looks like this:

See Fractions on the Number Line ...

... it shows many equivalent fractions.

Also see the Chart of Fractions with many examples of equivalent fractions.

Dividing

Here are some more equivalent fractions, this time by dividing:

÷ 3

÷ 6

18

=

6

=

1

36

12

2

÷ 3

÷ 6

Choose the number you divide by carefully, so that the results (both top and bottom) stay whole numbers.

If we keep dividing until we can't go any further, then we have simplified the fraction (made it as simple as possible).

Summary:

You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.

You only multiply or divide, never add or subtract, to get an equivalent fraction.

Only divide when the top and bottom stay as whole numbers.

# data[].attributes.attachment_link.description
Equivalent Fractions have the same value, even though they may look different. These fractions are really the same: Why are they the same? Because when you multiply or divide both the top and bottom by the same number, the fraction keeps it's value.