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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 it’s cut into. Equivalent Fractions. Shown is one half 1 2. NUMERATOR. DENOMINATOR. Equivalent Fractions.

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Presentation Transcript
slide2

Equivalent Fractions

Cut them in half

slide3

Equivalent Fractions

Shown is one half

1

2

How many pieces we want

How many pieces it’s cut into

slide4

Equivalent Fractions

Shown is one half

1

2

NUMERATOR

DENOMINATOR

slide5

Equivalent Fractions

I cut my shape again

I still show

1

2

slide6

Equivalent Fractions

But I also show

2

4

slide7

Equivalent Fractions

One half is EQUIVALENT TO

2 quarters

1

2

2

4

slide8

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”.

slide9

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

slide10

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

slide11

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

slide12

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

slide13

Equivalent Fractions

15

45

5

15

÷ 3

÷ 3

60

80

6

8

÷ 10

÷ 10

slide14

Equivalent Fractions

15

45

5

15

÷ 3

÷ 5

÷ 3

÷ 5

60

80

6

8

÷ 10

÷ 2

÷ 10

÷ 2

slide15

Equivalent Fractions

15

45

5

15

1

3

÷ 3

÷ 5

÷ 3

÷ 5

60

80

6

8

3

4

÷ 10

÷ 2

÷ 10

÷ 2

slide16

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

slide17

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