Equivalent Fractions Homework
Literacy
𝟓 ← Numerator (number)
𝟕 ← Denominator (name/type)
The denominator tells you the size of the slice
(how many a whole one has been cut into)
The numerator tells you the number of slices
5
means 5 slices, where each slice is a seventh.
7
Research
Memory
Where does the word ‘fraction’
originally come from?
 To find an equivalent fraction, multiply
or divide the top and bottom by the
same thing.
 To simplify a fraction, divide the top and
bottom by the same thing, and keep
going until you can’t divide any more.
This is the equivalent fraction that uses
the smallest numbers.
Why do you think this word
was chosen to describe this
type of number?
An equivalent fraction is one with equal value.
Skills
Convert these fractions to equivalent
fractions by filling in the gaps:
1)
2)
3)
4
=[
5
8
12
120
17
7
3
=
=
5)
[ ]
[ ]
15
Simplify these fractions fully:
4)
]
=
[ ]
30
Stretch
6)
12
30
42
60
=
=
9000
=
27000
1) Convert these fractions into equivalent
fractions with denominator 12:
3
4
=
[ ]
2
12
3
2) Which fraction is larger,
3) Which fraction is larger,
3
4
2
5
=
[ ]
12
2
or ?
3
1
or ?
3
Show ALL your working.
You need to read and learn the Literacy and Memory sections, look up answers to the Research section, answer all
questions from the Skills section, and (unless you have already spent more than 45 minutes on this homework)
attempt the Stretch section. Answers can be written on the sheet or in your book if you need more space.
Equivalent Fractions Homework SOLUTIONS
Literacy
𝟓 ← Numerator (number)
𝟕 ← Denominator (name/type)
The denominator tells you the size of the slice
(how many a whole one has been cut into)
The numerator tells you the number of slices
5
means 5 slices, where each slice is a seventh.
7
An equivalent fraction is one with equal value.
Research
Memory
 To find an equivalent fraction, multiply
or divide the top and bottom by the
Latin: ’fractio’ meaning ‘to break
same thing.
into pieces’ (like ‘fracture’)
 To simplify a fraction, divide the top and
Why do you think this word
bottom by the same thing, and keep
was chosen to describe this
going until you can’t divide any more.
type of number?
This is the equivalent fraction that uses
A fraction is what you get when you
the smallest numbers.
Where does the word ‘fraction’
originally come from?
break a whole number into pieces.
Skills
Convert these fractions to equivalent
fractions by filling in the gaps:
1)
2)
3)
4
5
=
12
8
120
= [170]
17
7
3
=
[35]
15
Simplify these fractions fully:
4)
[10]
=
5)
[70]
30
Stretch
6)
12
30
=
42
2
1) Convert these fractions into equivalent
fractions with denominator 12:
5
3
7
4
= 10
60
9000
27000
=
1
=
[9]
2
12
3
2) Which fraction is larger,
3
3
4
2
5
=
6
15
1
5
3
15
and =
4
12
2
or ?
3
(more twelfths)
3) Which fraction is larger,
Show ALL your working.
3
=
[8]
2
2
5
1
or ?
3
so is larger (more fifteenths)
5
You need to read and learn the Literacy and Memory sections, look up answers to the Research section, answer all
questions from the Skills section, and (unless you have already spent more than 45 minutes on this homework)
attempt the Stretch section. Answers can be written on the sheet or in your book if you need more space.