LESSON 15 – SIMPLIFYING FRACTIONS23.4.2020

Email : j.purcell@st-thomasmartyr.lancs.sch.uk

We can see that ½ is the

same as 2/4, 3/6, 4/8 and

5/10.

These are EQUIVALENT

FRACTIONS.

Find me an equivalent of:

2/8 3/9 8/10 9/9 4/6

Simplified Fractions

To simplify a fraction, we

find an equivalent fraction

which uses the smallest

numbers possible.

We do this by

dividing.

We need to know our

tables for this!

Ask yourself, what can I

divide both 24 and 40 by?

8 is the biggest number

we can divide both by and

3/5 uses the smallest

possible numbers as we

cannot divide them by

anything else.

Look at this one

28

56

The first thing I notice is

that 28 and 56 are both in

the 7 times table. So I’m

going to divide both

numbers by 7.

28

56

÷

÷

47=

7= 8

Is this simplified? NO!

4

8

I can still divide

both numbers by

4.

÷

÷

4=

4=

1

8

STEPS TO SUCCESS

• convert – to change from one form to another

• mixed number – a whole number and a fraction

• improper fraction – a fraction larger than one whole; the numerator is larger than the denominator

IMPROPER FRACTIONS

• A fraction in which the numerator is greater than the denominator.

They are BIG HEADED!!

=8

4

WRITE THE IMPROPER FRACTION:

=

7

4Denominator..

How many parts as

EACH whole been

split into?

Numerator..

How many parts do

we have in total?

=

WRITE THE IMPROPER FRACTION:

11

2Denominator..

How many parts as

EACH whole been

split into?

Numerator..

How many parts do

we have in total?

MIXED NUMBERS

• A mixed number has a part that is a whole and a part that is a fraction.

They’re a bit mixed up!

= 13

4

WRITE THE MIXED NUMBER:

= 31

2

- How many wholes are there?

- How many fractions/parts are there?

= 22

3

WRITE THE MIXED NUMBER:

- How many

wholes are

there?

- How many

fractions/parts

are there?

CHANGE:

AN IMPROPER FRACTION TO A MIXED NUMBER

=4

31

1

3

PAIRS:

Can you change

this improper

fraction?

Use a

Diagram to

help you!!

How many wholes? And how many parts are left over?

CONVERT THE IMPROPER FRACTION TO A MIXED NUMBER:

5

2

1

22

Use a

Diagram to

help you!!

CONVERT THE IMPROPER FRACTION TO A MIXED NUMBER:

7

3

1

32

Use a Diagram to help you!!

CONVERT THE IMPROPER FRACTION TO A MIXED NUMBER:

10

5 2

If there is no

remainder then your

answer is a

whole number!

CHANGE: A MIXED NUMBER TO IMPROPER FRACTION

1. Multiply the whole number by the denominator

2. Add your answer to the numerator

3. Put that number on top of the denominator

=5

221

2

The denominator always stays the SAME!

CONVERT THE MIXED NUMBER TO AN IMPROPER FRACTION:

9

2

1

24

1) Multiply

2) Add

3) On top!

CONVERT THE MIXED NUMBER TO AN IMPROPER FRACTION:

11

3

2

33

1) Multiply

2) Add

3) On top!

CONVERT THE MIXED NUMBER TO AN IMPROPER FRACTION:

12

5

2

52

Retrieving Information

What word does the poet use as a synonym for ‘hole’?

How does the poet say she must behave towards her mind?

The poet uses the word ‘mind’ in different ways so that it has

different meanings. Give two examples from the poem.

Making Inferences

Do you think the poet is a young person or an older person?

Explain why using evidence from the text.

Why do you think the poet wants their thoughts to “be mine

alone”?

Writer’s choices

Why do you think the writer compares her mind to “paths

and mazes”?

Why has the poet chosen to talk about “wolves” in her

mind?

Challenge question (extended question)

Do you think the poet’s mind is a happy, sad or angry place?

Support your answer with examples from the text.

Get out into your gardens or on your daily walk

and collect some leaves or petals. Use crayons,

pencils of even paint to create your own either

rubbed or printed images of leaves in bright

colours – email your images in and I shall print

them off to send up to the care home in order to

brighten up the residents days! Maybe you could

write a nice message for them to see too!