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Equivalent Fractions What They Are & How To Work Them Out. For more maths help & free games related to this, visit: www.makemymathsbetter.com

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Page 1: Equivalent Fractions

Equivalent Fractions

What They Are & How To Work Them Out.

For more maths help & free games related to this, visit: www.makemymathsbetter.com

Page 2: Equivalent Fractions

Firstly, you need to know what a fraction is:The number on the bottom of a fraction is called the denominator.

This tells you how many equal size pieces the fraction is divided into.

Page 3: Equivalent Fractions

Firstly, you need to know what a fraction is:The number on the bottom of a fraction is called the denominator.

This tells you how many equal size pieces the fraction is divided into.

1/2 (one half) is divided into 2 equal size pieces

Page 4: Equivalent Fractions

Firstly, you need to know what a fraction is:The number on the bottom of a fraction is called the denominator.

This tells you how many equal size pieces the fraction is divided into.

1/2 (one half) is divided into 2 equal size pieces

1/3 (one third) is divided into 3 equal size pieces

one third

one third

one third

Page 5: Equivalent Fractions

Firstly, you need to know what a fraction is:The number on the bottom of a fraction is called the denominator.

This tells you how many equal size pieces the fraction is divided into.

1/2 (one half) is divided into 2 equal size pieces

1/3 (one third) is divided into 3 equal size pieces

1/4 (one quarter) is divided into 4 equal size pieces

one third

one third

one third

one quarter

one quarter

one quarter

one quarter

Page 6: Equivalent Fractions

The number on the top of a fraction is called the numerator. This tells you how many of these equal size pieces there are.

2/3 means two-thirdsone third

one third

one third

one quarter

Page 7: Equivalent Fractions

The number on the top of a fraction is called the numerator. This tells you how many of these equal size pieces there are.

2/3 means two-thirds

3/4 means three-quarters

one third

one third

one third

one quarter

one quarter

one quarter

one quarter

Page 8: Equivalent Fractions

The number on the top of a fraction is called the numerator. This tells you how many of these equal size pieces there are.

2/3 means two-thirds

3/4 means three-quarters

4/5 means four-fifths

one third

one third

one third

one quarter

one quarter

one quarter

one quarter

One fifth

One fifth

One fifth

One fifthOne fifth

Page 9: Equivalent Fractions

Having learned what a fraction is, you now need to learn about equivalent fractions.

One half

One quarter

One quarter

One sixth

One sixth

One sixth

Page 10: Equivalent Fractions

Having learned what a fraction is, you now need to learn about equivalent fractions.

Equivalent fractions are 2 or more fractions that mean the same thing.

One half

One quarter

One quarter

One sixth

One sixth

One sixth

Page 11: Equivalent Fractions

Having learned what a fraction is, you now need to learn about equivalent fractions.

Equivalent fractions are 2 or more fractions that mean the same thing.

12

one half

One half

One quarter

One quarter

Page 12: Equivalent Fractions

Having learned what a fraction is, you now need to learn about equivalent fractions.

Equivalent fractions are 2 or more fractions that mean the same thing.

12

one half

24

two quarters

Is equivalent to:

One half

One quarter

One quarter

One sixth

One sixth

One sixth

Page 13: Equivalent Fractions

Having learned what a fraction is, you now need to learn about equivalent fractions.

Equivalent fractions are 2 or more fractions that mean the same thing.

12

one half

24

two quarters

36

three sixths

Is equivalent to:

Is equivalent to:

One half

One quarter

One quarter

One sixth

One sixth

One sixth

Page 14: Equivalent Fractions

Having learned what a fraction is, you now need to learn about equivalent fractions.

Equivalent fractions are 2 or more fractions that mean the same thing.

12

one half

24

two quarters

These 3 fractions all take up the same amount of space and have the same value.

36

three sixths

Is equivalent to:

Is equivalent to:

One half

One quarter

One quarter

One sixth

One sixth

One sixth

Page 15: Equivalent Fractions

Equivalent fractions can be found by using a fraction wall like this:

Page 16: Equivalent Fractions

However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top

of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:

Page 17: Equivalent Fractions

However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top

of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:

13

26

X 2

X 2

Page 18: Equivalent Fractions

However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top

of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:

13

26

X 2

X 2

23

69

X 3

X 3

Page 19: Equivalent Fractions

However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top

of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:

13

26

X 2

X 2

23

69

X 3

X 3

25

1435

X 7

X 7

Page 20: Equivalent Fractions

However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top

of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:

13

26

X 2

X 2

23

69

X 3

X 3

25

1435

X 7

X 7

45

2025

X 5

X 5

Page 21: Equivalent Fractions

However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top

of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:

13

26

X 2

X 2

23

69

X 3

X 3

25

1435

X 7

X 7

45

2025

X 5

X 5

16

424

X 4

X 4

Page 22: Equivalent Fractions

However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top

of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:

13

26

X 2

X 2

23

69

X 3

X 3

25

1435

X 7

X 7

45

2025

X 5

X 5

47

2442

X 6

X 6

16

424

X 4

X 4

Page 23: Equivalent Fractions

Sometimes you will be asked to find the missing denominator or numerator in a pair of equivalent fractions, e.g:

34

?12

Page 24: Equivalent Fractions

Sometimes you will be asked to find the missing denominator or numerator in a pair of equivalent fractions, e.g:

34

?12

You have to work out what the original denominator has been multiplied by to give the new denominator. In this case, 4 x 3 = 12

You then have to multiply the original numerator by the same number:

Page 25: Equivalent Fractions

Sometimes you will be asked to find the missing denominator or numerator in a pair of equivalent fractions, e.g:

34

?12

You have to work out what the original denominator has been multiplied by to give the new denominator. In this case, 4 x 3 = 12

You then have to multiply the original numerator by the same number:

34

912

X 3

X 3

Page 26: Equivalent Fractions

EXAMPLE 2:

57

?35

Page 27: Equivalent Fractions

EXAMPLE 2:

57

?35

In this case, 7 x 5 = 35 You therefore have to multiply the original numerator by the same

number:

Page 28: Equivalent Fractions

EXAMPLE 2:

57

?35

In this case, 7 x 5 = 35 You therefore have to multiply the original numerator by the same

number:

57

2535

X 5

X 5

Page 29: Equivalent Fractions

The process is similar when you are asked to find the missing denominator in a pair of equivalent fractions, e.g:

25

8?

Page 30: Equivalent Fractions

The process is similar when you are asked to find the missing denominator in a pair of equivalent fractions, e.g:

25

8?

You have to work out what the original numerator has been multiplied by to give the new numerator. In this case, 2 x 4 = 8

You then have to multiply the original denominator by the same number:

Page 31: Equivalent Fractions

The process is similar when you are asked to find the missing denominator in a pair of equivalent fractions, e.g:

25

8?

You have to work out what the original numerator has been multiplied by to give the new numerator. In this case, 2 x 4 = 8

You then have to multiply the original denominator by the same number:

25

820

X 4

X 4

Page 32: Equivalent Fractions

EXAMPLE 2:

59

40?

Page 33: Equivalent Fractions

EXAMPLE 2:

59

40?

In this case, 5 x 8 = 40 You therefore have to multiply the original denominator by the same

number:

Page 34: Equivalent Fractions

EXAMPLE 2:

59

40?

In this case, 5 x 8 = 40 You therefore have to multiply the original denominator by the same

number:

59

4072

X 8

X 8

Page 35: Equivalent Fractions

EXAMPLE 2:

59

40?

In this case, 5 x 8 = 40 You therefore have to multiply the original denominator by the same

number:

59

4072

X 8

X 8

For more help with your maths, try my book:mastering multiplication tables

on amazon.com