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RN Multiplying fractions
Contributed by: Sonnier
(Original author: Cason)

To change the mixed number there are two whole

numbers at 3 pieces each plus the 2 you already had.

To multiply fractions any whole numbers must be

converted to fractions by placing them over one.

All mixed numbers must change to improper.

4

4

1

3

8

8

3

2

x

+

8

3

2

3

=

=

Since multiplication is commutative, we can now 

simplify any numerator with any denominator.

Now multiply across the top.  Put the answer on top.

Multiply across the bottom.  Put the answer on bottom.

Make sure the answer is simplified.

 

1

4

1

4

3

8

1
1
1
1
÷ 3
÷ 8

1
1
1

8

3

1
÷ 3
÷ 8

=                 or 4

=

New Problem.

To multiply fractions any whole numbers must be

converted to fractions by placing them over one.

All mixed numbers must change to improper.

To change the mixed number there is one whole

number at 3 pieces plus the 2 you already had.

1

6

6

1

x

+

5

3

2

3

=

=

Since this problem is commutative, simplify any top

with any bottom.

Multiply across numerators.  Record on top.  Multiply

across the denominators.  Record on bottom.

Make sure it is simplified.

1

2

6

1

÷3

5

1

5

3

=                  or 10

÷3

=

1) Whole numbers to fractions. Mixed to improper.

2)  Simplify any one top with any one bottom.  Repeat

     if there are others (one on top and one on bottom)

     that can simplify. 

3)  Multiply across the top.  Record on top.

4)  Multiply across the bottom.  Record on bottom.

5)  Make sure it is simplified.  (If you did

     step 3 right, this will automatically happen.)

6

6

1
÷3
3

+

x

10

3

1

3

÷3

=

=

20

1

or

1) Whole numbers to fractions. Mixed to improper.

2)  Simplify any one top with any one bottom.  Repeat

     if there are others (one on top and one on bottom)

     that can simplify. 

3)  Multiply across the top.  Record on top.

4)  Multiply across the bottom.  Record on bottom.

5)  Make sure it is simplified.  (If you did

     step 3 right, this will automatically happen.)

4

4

1
÷2

1

2

3

1

2

÷2

=

=

6

1

or

1) Whole numbers to fractions. Mixed to improper.

2)  Simplify  any one top with any one bottom. 

3)  Multiply across the top.  Record on top.

4)  Multiply across the bottom.  Record on bottom.

5)  Simplified?

Before it is

simplified.

After it is

simplified.

6

6

1

1

÷2

2

11

+

x

11

3

4

÷2

=

=

33

1) Whole numbers to fractions. Mixed to improper.

2)  Simplify  any one top with any one bottom. 

3)  Multiply across the top.  Record on top.

4)  Multiply across the bottom.  Record on bottom.

5)  Simplified?

Before it is

simplified.

After it is

simplified.

2

1

1

÷2

2

5

5

1

2

÷2

=

=

5

or

1) Whole numbers to fractions. Mixed to improper.

2)  Simplify  any one top with any one bottom. 

3)  Multiply across the top.  Record on top.

4)  Multiply across the bottom.  Record on bottom.

5)  Simplified?

Before it is

simplified.

After it is

simplified.

6

6

1

1

÷3

1

2

3

÷3

=

=

or

1) Whole numbers to fractions. Mixed to improper.

2)  Simplify  any one top with any one bottom. 

3)  Multiply across the top.  Record on top.

4)  Multiply across the bottom.  Record on bottom.

5)  Simplified?

Before it is

simplified.

After it is

simplified.

3

1

÷3

1

5

6

÷3

=

=

Before it is

simplified.

After it is

simplified.

6

+

x

1

4

÷5
÷2

1

+

x

1

5

÷2
÷5

=

Before it is

simplified.

After it is

simplified.

2

+

x

1

4

÷3
÷4

1

+

x

1

3

÷4
÷3

=

Before it is

simplified.

After it is

simplified.

2

3

4

÷2

1

+

x

1

5

÷2

=

Remember we only simplify if we can.  Some do not

simplify.  The tops and the bottoms have no common

factors other than one.  11 is relatively prime to 3 and

4 as is 5 to 4 and 3.  This one does not simplify.

2

4

3

1

2

3

=

=

Before it is

simplified.

After it is

simplified.

5

+

x

1

4

1

1

7

=

Before it is

simplified.

After it is

simplified.

5

+

x

1

4

6

7

=

1) Whole numbers to fractions. Mixed to improper.

2)  Simplify  any one top with any one bottom. 

3)  Multiply across the top.  Record on top.

4)  Multiply across the bottom.  Record on bottom.

5)  Simplified?

Before it is

simplified.

After it is

simplified.

3

÷3

1

1

6

÷3

=

=

Before it is

simplified.

After it is

simplified.

3

3

4

1

3

5

=

Before it is

simplified.

After it is

simplified.

5

1

4

1

3

7

=

Before it is

simplified.

After it is

simplified.

1

4

1

3

7

=

REMEMBER:

1) Whole numbers to fractions. Mixed to improper.

2)  Simplify if you can.

3)  Multiply across the top.  Record on top.

4)  Multiply across the bottom.  Record on bottom.

5)  Double check for simplest form.

5

1

3

7

=

=

Before it is

simplified.

After it is

simplified.

6

2

3

4

=

4

1

7

3

=

3

2

7

3

=

Before it is

simplified.

After it is

simplified.

3

2

1

6

=

Before it is

simplified.

After it is

simplified.

4

4

5

4

1

6

=

Before it is

simplified.

After it is

simplified.

4

1

5

4

1

6

=

After it is

simplified.

Simplify any one top with any one bottom.

Before it is

simplified.

1

1

3

1

1

4

10

9

=

After it is

simplified.

Simplify any one top with any one bottom.

Before it is

simplified.

1

1

3

2

1

4

1

2

5

=

After it is

simplified.

Simplify any one top with any one bottom.

Before it is

simplified.

3

1

3

1

1

4

10

9

=

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