Starter: BIDMAS

• 4 x 3 + 6 = 36

• 24 – 3 ÷ 7 = 3

• 45 ÷ 5 x 3 = 27

• 18 + 14 ÷ 4 = 8

Write out the calculations

and then add brackets in

purple pen so that the

answer is correct.

Equivalent and Simplified Fractions

Target: To be able to find equivalent fractions.

To be able to simplify fractions.

Starter: Copy and complete the multiplication grids

x 2 3 x 6 9

16 3 12

7 56 18

33 36

How many equal sections is each square cut into?

How many of the sections are blue?

What fraction of each square is blue?

Are these fractions equal?

How do you get from one fraction to the next?

2 4 8 16

1 2 4 8

x2 x2 x2

How many equal sections is each square cut into?

How many of the sections are blue?

What fraction of each square is blue?

Are these fractions equal?

How do you get from one fraction to the next?

3 9 36

1 3 12

x3 x4

So to find equivalent fractions you multiply the numerator (the top number) and the denominator (the bottom number) by the same number.

E.g. Find 3 equivalent fractions to :

= = =

x2 x6 x24

Remember you can multiply by any number!!!

a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

k)

l)

Practice Questions:

Find 3 equivalent fractions for each question

Simplifying fractions is the opposites instead of multiplying the numerator and the denominator by the same number you divide it until you cant divide it anymore.

÷3

Remember you can only divide by a common

factor!!!

E.g. Simplify the fraction :

= =

÷2

a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

k)

l)

Practice Questions:

Simplify the following fractions

Simplifying fractions

L.I:To use common factors to simplify fractions

S.C:. I can use my knowledge of common factors to find the HCF

. I can divide my numerator and denominator by the HCF

. I can use my reasoning skills to explain my findings

What is a fraction?fraction

/ˈfrakʃ(ə)n/

noun1. a numerical quantity that is not a whole number (e.g. 1/2, 0.5).

2. a small or tiny part, amount, or proportion of something.

Today, we are going to be simplifying fractions.

What does it mean to simplify something?

simplify

/ˈsɪmplɪfʌɪ/

verb1. make (something) simpler or easier to do or understand.

"A good way to simplify your morning routine is to organise your breakfast

ingredients together on one shelf. "

To simplify, we must first…

• 1. Find the common factors of our numerator and denominator.

• 2. We then need to locate the HCF.

• 3. Then we divide our numerator and denominator by our HCF to get

our simplified fraction.

Recap: common factors?

Highest Common Factor = 4

Let’s try it!

6

24

HCF: 6Divide the numerator and denominator by the Highest common Factor: 6

Simplified fraction:

¼

Let’s try it!

8

36

HCF: 4Divide the numerator and denominator by the Highest common Factor: 4

Simplified fraction:

2/12 = 1/6

Let’s try it!

12

18

HCF:

Simplified fraction:

Let’s try some more…

• 27

• 36

HCF:

Simplified fraction:

Let’s try some more…

• 16

• 40

HCF:

Simplified fraction:

Match the fraction to its simplified form

4

7

A.

B.

C.

3

4

4

5

4

7

3

4

4

5

A.

B.

C.

Reasoning

• Show me a fraction that can cancel down to 3/4

REASONING

• What is the same? What is different?

• 10/20 1/2 25/50