Equivalent Fractions

One Whole 1

Equivalent Fractions

Cut them in half

Equivalent Fractions

Shown is one half 1 2

How many pieces we want

How many pieces its cut into

Equivalent Fractions

Shown is one half 1 2

NUMERATOR

DENOMINATOR

Equivalent Fractions

I cut my shape again I still show 1 2

Equivalent Fractions

But I also show 2 4

Equivalent Fractions

One half is EQUIVALENT TO 2 quarters

1 2

2 4

Equivalent Fractions

1 2

2 4

This symbol looks like an equals sign with a

third line. It is the mathematical sign for

EQUIVALENT TO - which means is worth the same

as.

Equivalent Fractions

We can use equivalent fraction to make our

numbers easier to handle.

Smaller numbers are SIMPLE

160 200

16 20

4 5

10

4

10

4

Equivalent Fractions

Simplest form Lowest terms Simplified Cancelled

down

We can use different language for making the

fraction as small as possible. Watch out for

this language in the future. It is often used in

Key Stage 3.

160 200

4 5

This fraction is as simple as we can make it

Equivalent Fractions

Look for numbers that both the NUMERATOR and the

DENOMINATOR can be divided by. We want numbers

bigger than 1.

15 45

60 80

We call these COMMON FACTORS

Equivalent Fractions

These numbers have 3 as a common factor. This

means they can both be shared by 3.

15 45

3

3

60 80

10

A common factor here is 10

10

Equivalent Fractions

15 45

5 15

3

3

60 80

6 8

10

10

Equivalent Fractions

15 45

5 15

3

5

3

5

60 80

6 8

10

2

10

2

Equivalent Fractions

15 45

5 15

1 3

3

5

3

5

60 80

6 8

3 4

10

2

10

2

Equivalent Fractions

If the top number is a 1, we know we can stop.

15 45

1 3

If the top and bottom number are not DIVISIBLE by

the same number, we stop.

60 80

3 4

Equivalent Fractions

They have no FACTORS in common other than 1

15 45

1 3

60 80

3 4

They have no FACTORS in common other than 1