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Fractions. Fractions - equal parts of a whole. Numerator. Parts/pieces you are looking for. =. Denominator. Total number of pieces/parts. 3. Ex). w. 4. Improper Fractions & Mixed Numbers. Improper Fractions - numerator larger than denominator. Ex). 5. 1. w. w. w. 4. 4.

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Fractions- equal parts of a whole

Numerator

Parts/pieces you are looking for

=

Denominator

Total number of pieces/parts

3

Ex)

w

4

improper fractions mixed numbers
Improper Fractions &Mixed Numbers

Improper Fractions- numerator larger than denominator

Ex)

5

1

w

w

w

4

4

Mixed numbers- whole number and a fraction

1

3

3

Ex)

Number of pieces left over

1

4

2

Total number of completely colored shapes

changing mixed numbers to improper fractions
Changing Mixed Numbers to Improper Fractions

Multiply the whole number by the denominator

Add that to the numerator

Keep the denominator the same

Write the total as the new numerator

1

4

3

+

Ex)

3 x 4 + 1 = 13

4

x

try some
Try Some

2

+

1.)

2 x 7 + 5 = 19

7

x

3

5

2

2.)

4

+

8

3

7

4 x 3 + 2 = 14

3

x

3.)

5

+

5 x 8 + 3 = 43

8

x

changing improper fractions to mixed numbers
Changing Improper Fractionsto Mixed Numbers

Divide the numerator by the denominator

The answer is the whole number

The remainder is the numerator

Keep the denominator the same

1

5

3

16

-15

1

3

16

5

Whole #

Ex)

numerator

try some1
Try Some

5

4 21

-20

1

5

21

4

1.)

3

18

5

3

18

-15

3

2.)

1

3

1

9

4

5

55

9

6

9 55

-54

1

3.)

6

golden rule of fractions
Golden Rule of fractions
  • What you do to the numerator you do the denominator and vice versa
equivalent fractions
Equivalent Fractions

Fractions that are equal

*think multiplication*

What times 7 = 21

1 = 2

5 10

Ex)

2 =

7 21

6

x 3

x 3

try some2
Try Some

4 =

9 36

4 =

9 36

16

1.)

X 4

X 4

15 =

35 7

15 =

35 7

3

x 5

x 5

2.)

5 = 10

12

5 = 10

12

x 2

x 2

3.)

24

simplifying fractions
Simplifying Fractions

To make fraction the smallest it can go

*reduce, simplify and lowest terms*

Divide by the common factor

Hint: Start with 2, 3, 5, 7, 11

8

12

4

6

2

3

Ex)

÷ 2

÷ 2

÷ 2

÷ 2

2

10

÷ 2

÷ 2

= 1

5

Ex)

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