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Mixed Numbers and Improper FractionsPowerPoint Presentation

Mixed Numbers and Improper Fractions

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Presentation Transcript

An improper fraction is a fraction with a numerator that is greater than or equal to the denominator.

1

1

4

4

4

3

4

Mixed Number

Mixed Number- a number that names a whole number and a fraction.

1 Whole

1 Whole

2

1

1

3

7

7

7

7

Mixed Number

Mixed Number- a number that names a whole number and a fraction.

1 Whole

1

1

1

1

4

9

9

9

9

9

Mixed Number

Mixed Number- a number that names a whole number and a fraction.

1 Whole

1 Whole

2

1

1

1

1

3

3

3

3

3

How many pieces are there?

2

How many pieces make 1 whole?

3

Improper Fraction

A mixed number can also be represented as an improper fraction.

1 Whole

1

5

=

3

An improper fraction is a fraction with a numerator that is greater than or equal to the denominator.

1

1

1

1

1

5

5

5

5

5

How many pieces make 1 whole?

1

1

1

1

1

5

5

5

5

1

1

5

5

5

Improper Fraction

A mixed number can also be represented as an improper fraction.

1 Whole

1 Whole

2

11

=

5

An improper fraction is a fraction with a numerator that is greater than or equal to the denominator.

How many pieces make 1 whole?

4

15

1

1

15

15

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

Improper Fraction

A mixed number can also be represented as an improper fraction.

1 Whole

1 Whole

2

34

=

15

An improper fraction is a fraction with a numerator that is greater than or equal to the denominator.

How many pieces make 1 whole?

1

1

1

1

1

1

1

1

1

1

1

1

12

12

12

12

12

12

12

12

12

12

12

12

Improper Fraction

A mixed number can also be represented as an improper fraction.

1 Whole

1

12

=

12

Step 1: Multiply the denominator and the whole number.

Step 2: Add the product and the numerator.

Step 3: The sum becomes the numerator.

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

7

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

Step 4: The denominator remains the same.

Mixed Number to Improper Fraction

Mixed Number

Improper Fraction

10 × 1 = 10

+

1

10 + 7 = 17

17

=

10

×

1 Whole

Step 1: Multiply the denominator and the whole number.

Step 2: Add the product and the numerator.

Step 3: The sum becomes the numerator.

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

5

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

Step 4: The denominator remains the same.

Mixed Number to Improper Fraction

Mixed Number

Improper Fraction

8 × 2 = 16

+

2

16 + 5 = 21

21

=

8

×

1 Whole

1 Whole

Step 1: Divide the numerator by the denominator

Step 2: The quotient becomes the whole number.

1

1

1

1

1

1

1

1

1

1

6

6

6

6

6

6

6

6

6

6

Step 3: The remainder becomes the numerator.

10

6

Step 4: The denominator remains the same.

Improper Fraction to Mixed Number

Improper Fraction

Mixed Number

10 ÷ 6 = 1 R4

4

1

=

÷

6

1 Whole

Step 1: Divide the numerator by the denominator

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

Step 2: The quotient becomes the whole number.

Step 3: The remainder becomes the numerator.

25

7

Step 4: The denominator remains the same.

Improper Fraction to Mixed Number

Improper Fraction

Mixed Number

25 ÷ 7 = 3 R4

4

3

=

÷

7

1 Whole

1 Whole

1 Whole

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