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This pdf explains improper fractions and mixed numbers. A proper fraction is a fraction whose numerator is smaller than its denominator. An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.

1.
Understanding improper fractions and

mixed numbers

mixed numbers

2.
Proper Fractions

The numerator

This shows us the number

3

of pieces we have.

The denominator

This shows us the number

4

of parts we are dividing by.

A proper fraction is where the numerator is less than the denominator.

The numerator

This shows us the number

3

of pieces we have.

The denominator

This shows us the number

4

of parts we are dividing by.

A proper fraction is where the numerator is less than the denominator.

3.
Improper Fractions

The numerator

This shows us the number

7

of pieces we have.

The denominator

This shows us the number

4

of parts we are dividing by.

An improper fraction is where the numerator is greater than or equal to

the denominator.

This happens because you have a whole or more than a whole.

The numerator

This shows us the number

7

of pieces we have.

The denominator

This shows us the number

4

of parts we are dividing by.

An improper fraction is where the numerator is greater than or equal to

the denominator.

This happens because you have a whole or more than a whole.

4.
Improper Fractions to Mixed Numbers

You can convert an improper fraction into a mixed number.

Divide the numerator (7) by the

denominator (4).

7 ÷ 4 = 1 r3

4 1 r3 written as a mixed number is 1 3

4

You can convert an improper fraction into a mixed number.

Divide the numerator (7) by the

denominator (4).

7 ÷ 4 = 1 r3

4 1 r3 written as a mixed number is 1 3

4

5.
Improper Fractions to Mixed Numbers

11 14

8 10 9

5 6

4

11 14

8 10 9

5 6

4

6.
Improper Fractions to Mixed Numbers

Answers

14 5

11

10

= 1 1

10 9

= 1 9

8 3

5

= 1 5

6 2 or 1

4 1

=

4 1 2

Answers

14 5

11

10

= 1 1

10 9

= 1 9

8 3

5

= 1 5

6 2 or 1

4 1

=

4 1 2

7.
Mixed Numbers to Improper Fractions

You can also convert a mixed number into an improper fraction.

First you need to multiply the whole number by the denominator.

2 1

3

2×3=6

Then add the total to the numerator. 6 + 1 = 7

7

Then write the answer over the denominator. 3

You can also convert a mixed number into an improper fraction.

First you need to multiply the whole number by the denominator.

2 1

3

2×3=6

Then add the total to the numerator. 6 + 1 = 7

7

Then write the answer over the denominator. 3

8.
Mixed Numbers to Improper Fractions

Convert these mixed numbers into improper fractions:

1 3

4 3 2

5

5 4

7

Convert these mixed numbers into improper fractions:

1 3

4 3 2

5

5 4

7

9.
Mixed Numbers to Improper Fractions

Answers

1 3

4

=

7

4 3 2

5

=

17

5

5 4

7

=

39

7

Answers

1 3

4

=

7

4 3 2

5

=

17

5

5 4

7

=

39

7