1. Equivalent Fractions
What They Are & How To Work Them Out.
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2. 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.
3. 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
4. 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
one
third
1/3 (one third) is divided into 3 equal
size pieces
one
third
one
third
5. 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
one
third
1/3 (one third) is divided into 3 equal
size pieces
one
third
one
third
1/4 (one quarter) is divided into 4 equal
size pieces
one
quarter
one
quarter
one
quarter
one
quarter
6. 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
one
third
one
third
one
third
one
quarter
7. 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
one
third
one
third
one
third
3/4 means three-quarters
one
quarter
one
quarter
one
quarter
one
quarter
8. 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
one
third
one
third
one
third
one
quarter
one
quarter
3/4 means three-quarters
one
quarter
one
quarter
One fifth
One fifth
4/5 means four-fifths
One fifth
One fifth
One fifth
9. Having learned what a fraction is, you now need
to learn about equivalent fractions.
One
quarter
One
half
One
quarter
One
sixth
One
sixth
One
sixth
10. 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
quarter
One
half
One
quarter
One
sixth
One
sixth
One
sixth
11. 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
quarter
One
half
One
quarter
1
2
one
half
12. 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
quarter
One
half
One
quarter
1
2
one
half
Is
equivalent
to:
2
4
two
quarters
One
sixth
One
sixth
One
sixth
13. 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
sixth
One
quarter
One
sixth
One
half
One
quarter
1
2
one
half
Is
equivalent
to:
2
4
two
quarters
One
sixth
Is
equivalent
to:
3
6
three
sixths
14. 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
sixth
One
quarter
One
sixth
One
half
One
quarter
1
2
one
half
Is
equivalent
to:
2
4
two
quarters
One
sixth
Is
equivalent
to:
3
6
three
sixths
These 3 fractions all take up the same amount of space and have the same value.
16. 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:
17. 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:
X2
1
3
2
6
X2
18. 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:
X2
1
3
X3
2
6
X2
2
3
6
9
X3
19. 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:
X2
1
3
X3
2
6
X2
2
3
X7
6
9
X3
2
5
14
35
X7
20. 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:
X2
1
3
X3
2
6
X2
20
25
X5
6
9
X3
X5
4
5
2
3
X7
2
5
14
35
X7
21. 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:
X2
1
3
X3
2
6
2
3
X2
1
6
4
24
X4
2
5
14
35
X7
X4
20
25
X5
6
9
X3
X5
4
5
X7
22. 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:
X2
1
3
X3
2
6
2
3
X2
2
5
14
35
X7
X4
20
25
X5
6
9
X3
X5
4
5
X7
1
6
X6
4
24
X4
4
7
24
42
X6
23. Sometimes you will be asked to find the missing denominator or numerator
in a pair of equivalent fractions, e.g:
3
4
?
12
24. Sometimes you will be asked to find the missing denominator or numerator
in a pair of equivalent fractions, e.g:
3
4
?
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:
25. Sometimes you will be asked to find the missing denominator or numerator
in a pair of equivalent fractions, e.g:
3
4
?
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:
X3
3
4
9
12
X3
27. EXAMPLE 2:
5
7
?
35
In this case, 7 x 5 = 35
You therefore have to multiply the original numerator by the same
number:
28. EXAMPLE 2:
5
7
?
35
In this case, 7 x 5 = 35
You therefore have to multiply the original numerator by the same
number:
X5
5
7
25
35
X5
29. The process is similar when you are asked to find the missing denominator in
a pair of equivalent fractions, e.g:
2
5
8
?
30. The process is similar when you are asked to find the missing denominator in
a pair of equivalent fractions, e.g:
2
5
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:
31. The process is similar when you are asked to find the missing denominator in
a pair of equivalent fractions, e.g:
2
5
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:
X4
2
5
8
20
X4
33. EXAMPLE 2:
5
9
40
?
In this case, 5 x 8 = 40
You therefore have to multiply the original denominator by the same
number:
34. EXAMPLE 2:
5
9
40
?
In this case, 5 x 8 = 40
You therefore have to multiply the original denominator by the same
number:
X8
5
9
40
72
X8
35. EXAMPLE 2:
5
9
40
?
In this case, 5 x 8 = 40
You therefore have to multiply the original denominator by the same
number:
X8
5
9
40
72
X8
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