Comparing Fractions
Both of these circles have been split into multiples of 4 therefore we can compare them.
3
4
7
8
Comparing Fractions
3
4
7
8
<
Comparing Fractions
Both of these circles have been split into a multiple of 5 therefore we can compare them.
2
5
4
10
Comparing Fractions
2
5
4
10
=
Comparing Fractions
5 and 15 are both multiples of 5 therefore we can compare them.
3
5
7
15
Comparing Fractions
3
5
7
15
>
Comparing Fractions
1
4
3
12
To compare these two fractions, you must look at what has changed in the denominator, e.g. 4 x 3 = 12
x 3
Therefore, if the numerator has changed in the same way, the fractions would be equal, e.g. 1 x 3 = 3
1
4
3
12
=
Remember the Rule: When using multiplication to change the denominator of the fraction, whatever you do to the denominator, you must do the same to the numerator.
Comparing Fractions
1
4
3
12
=
Comparing Fractions
Can you compare these two fractions by looking at what has changed in the denominator and seeing if it is the same in the numerator?
1
3
6
12
?
Remember the Rule: Whatever you do to the denominator, you must do the same to the numerator.
Comparing Fractions
1
3
6
12
×4
So these fractions are not equal.
Which fraction is larger?
×4
3 × 4 = 12
Hang on… that’s not right!
1 × 4 = 4. Not 6.
Comparing Fractions
1
3
6
12
<
Comparing Fractions
Can you compare these two fractions by looking at what has changed in the denominator?
3
7
7
21
?
?
Remember the Rule: Whatever you do to the denominator, you must do the same to the numerator.
Comparing Fractions
3
7
7
21
×3
So these fractions are not equal.
Which fraction is larger?
×3
7 × 3 = 21
Hang on… that’s not right!
3 × 3 = 9. Not 7.
Comparing Fractions
3
7
7
21
>
Comparing Fractions
Have a go at comparing these fractions:
2
5
5
10
<
2
3
4
6
=
4
5
12
20
>
3
4
12
16
=
Ordering Fractions
The denominator in each of these fractions is a multiple of 4 therefore, we can compare and order them.
4
8
1
4
3
4
5
8
First, change all of the fractions so that they have the same denominator.
4
8
2
8
6
8
5
8
Then write them in order from smallest to largest. Remember to write them in their original form.
1
4
4
8
5
8
3
4
Ordering Fractions
Can you order the following fractions from smallest to largest? Start by changing each of the fractions so that the denominator is 20.
2
5
2
10
9
10
3
5
3
10
8
20
4
20
18
20
12
20
6
20
Now put them in order! Remember to write them in their original form!
2
10
3
10
2
5
3
5
9
10
Ordering Fractions
Order these fractions from smallest to largest? Decide on what denominator to change each fraction to.
1
2
3
8
3
4
7
8
2
8
4
8
3
8
6
8
7
8
2
8
Now put them in order! Remember to write them in their original form!
2
8
3
8
1
2
3
4
7
8