RN Dividing Fractions

To change the mixed number there are two whole

numbers at 2 pieces each plus the 1 you already had.

To divide fractions any whole numbers must be

converted to fractions by placing them over one.

All mixed numbers must change to improper.

1

5

5

÷

÷

2

x

+

2

5

1

2

=

=

Since we can't not divide fractions, change to

reciprocal multiplication.  Change the sign in the

middle to multiplication and flip the number of the

right. 

Continued.

5

1

1

5

÷

5

2

2

5

=

=

Continued.

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.

 

5

1

1
1
1
÷ 5

2

1

2

5

1
÷ 5

=                 or 2

=

1) Whole numbers to fractions. Mixed to improper.

Division only:  Change to multiplication and flip on right.

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?

Changed to

multiplication

before it is

simplified.

After it is

simplified.

÷3

2

9

9

1

÷3

÷

÷

1

+

2

x

3

2

2

1

=

=

Mixed  to Improper

1

Changed to

multiplication

before it is

simplified.

1

3

÷

8

9

=

÷4

After it is

simplified.

÷3

÷

÷4
÷3

=

=

=

Mixed  to Improper

2

Changed to

multiplication

before it is

simplified.

2

3

÷

4

9

=

÷4

After it is

simplified.

÷3

÷

÷4
÷3

=

=

=

Mixed  to Improper

Changed to

multiplication

before it is

simplified.

6

÷

1

1

2

=

÷3

After it is

simplified.

÷

÷3

=

=

=

Mixed  to Improper

1

Changed to

multiplication

before it is

simplified.

1

3

÷

2

=

÷2

After it is

simplified.

÷

÷2

=

=

=

Mixed  to Improper

1

Changed to

multiplication

before it is

simplified.

1

3

÷

8

9

=

÷4

After it is

simplified.

÷3

÷

÷4
÷3

=

=

=

Mixed  to Improper

1

Changed to

multiplication

before it is

simplified.

1

5

÷

1

3

5

=

÷2

After it is

simplified.

÷5

÷

÷2
÷5

=

=

=

Mixed  to Improper

1

Changed to

multiplication

before it is

simplified.

1

3

÷

1

1

6

=

After it is

simplified.

÷3

÷

÷3

=

=

=

Mixed  to Improper

5

Changed to

multiplication

before it is

simplified.

1

3

÷

1

1

9

=

÷2

After it is

simplified.

÷3

÷

÷2
÷3

=

=

=

Mixed  to Improper

4

Changed to

multiplication

before it is

simplified.

1

2

÷

1

3

4

=

After it is

simplified.

÷2

÷

÷2

=

=

=

Mixed  to Improper

4

Changed to

multiplication

before it is

simplified.

1

6

÷

1

1

4

=

After it is

simplified.

÷2
÷5

÷

÷2
÷5

=

=

=

Mixed  to Improper

3

Changed to

multiplication

before it is

simplified.

1

3

÷

1

5

6

=

After it is

simplified.

÷

=

=

=

Mixed  to Improper

3

Changed to

multiplication

before it is

simplified.

1

3

÷

6

=

After it is

simplified.

÷

=

=

=

Mixed  to Improper

4

Changed to

multiplication

before it is

simplified.

1

5

÷

1

1

2

=

After it is

simplified.

÷

=

=

=

Mixed  to Improper

1

After it is

simplified.

 

Hint:  Sometimes, it is already simplified.

Changed to

multiplication

before it is

simplified.

1

3

÷

1

1

2

=

÷

=

=

=

Mixed  to Improper

3

Changed to

multiplication

before it is

simplified.

1

3

÷

4

=

After it is

simplified.

÷

=

=

=

Mixed  to Improper

3

Changed to

multiplication

before it is

simplified.

3

4

÷

1

2

3

=

After it is

simplified.

÷

=

=

=

Mixed  to Improper

4

Changed to

multiplication

before it is

simplified.

1

5

÷

1

1

10

=

After it is

simplified.

÷

=

=

=

Mixed  to Improper

4

Changed to

multiplication

before it is

simplified.

1

5

÷

1

2

5

=

After it is

simplified.

÷

=

=

=

Mixed  to Improper

4

Changed to

multiplication

before it is

simplified.

1

5

÷

4

2

3

=

After it is

simplified.

÷

=

=

=

Mixed  to Improper

Changed to

multiplication

before it is

simplified.

7

÷

3

1

2

=

After it is

simplified.

÷

=

=

=

Mixed  to Improper

5

Changed to

multiplication

before it is

simplified.

1

3

÷

4

9

=

After it is

simplified.

÷

=

=

=

Mixed  to Improper

3

Changed to

multiplication

before it is

simplified.

3

4

÷

3

1

8

=

After it is

simplified.

÷

=

=

=

Mixed  to Improper

5

Changed to

multiplication

before it is

simplified.

÷

5

9

=

After it is

simplified.

÷

=

=

=

Mixed  to Improper

5

Changed to

multiplication

before it is

simplified.

1

4

÷

1

1

6

=

After it is

simplified.

÷

=

=

=

Mixed  to Improper

3

Changed to

multiplication

before it is

simplified.

3

4

÷

3

=

After it is

simplified.

÷

=

=

=

Mixed  to Improper

5

Changed to

multiplication

before it is

simplified.

÷

4

9

=

After it is

simplified.

÷

=

=

=

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