Fractional Parts

Numerator

Denominator

Types of Fractions

Proper fraction

Improper fraction

Mixed fractions

In a proper fraction the numerator is smaller than the denominator

In an improper fraction the denominator is smaller than the numerator

2

3

A mixed fraction contains both a whole number and a fraction

**Simplifying fractions**

Simplify 20

50

20

50

Factors of 20 are: 1, 2, 4, 5, 10

Factors of 50 are: 1, 2, 5, 10, 25, 50

Divide top and bottom of fraction by 10

**Adding proper fractions**

It's easy !

**Adding improper fractions**

It's the same thing!!!

Then change to a mixed number

Divide the denominator (bottom)

into the numerator (top)

11 divided by 5 is with a remainder of 1

The remainder is the numerator

that's the number

on top

**2**

**2**

With the same denominators

With the same denominators

(or 2 x 5 = 10 + 1 = 11)

10 is common to both

20 and 50

+

=

The denominator stays the same

Add the numerators

**20**

50

50

**2**

5

5

=

**3**

5

5

**+**

**8**

5

5

**=**

**11**

5

5

**11**

5

5

**1**

5

5

NOD

Numerator

Over

Denominator

Change these improper

fractions to mixed numbers:

Convert the following to

improper fractions:

**Adding fractions with different denominators**

7

4

15

6

7

4

=

1

3

4

15

6

=

2

3

6

=

2

1

2

9

4

5

8

2

7

49

5

58

7

Simply the following fractions

15

25

16

24

15

25

=

3

5

16

24

=

2

3

To change from an improper fraction to a mixed fraction:

17

5

17 divided by 5 is 3

The remainder is 2

So the mixed fraction is

3

2

5

To convert from a mixed fraction to an improper fraction:

7

1

3

Mulitiply

the whole number by the denominator then

ADD

the numerator - 7 x 3 = 21 + 1 = 22

This becomes the numerator

The denominator remains the same

22

3

3

5

1

5

4

5

Multiplying and dividing fractions:

**Maths Watch Clip 57A and 57B**

MathsWatch clip 57