Equivalent Fractions Exercise
1.
Use the fraction wall chart below to help say if the
following are true or false.
(a)
½ = 5/10
(b)
3/5 = 6/10
(c)
¼ = 2/8
(d)
1/8 = 2/12
(e)
¾ = 9/12
(f)
8/8 = 13/13
(g)
2/6 = 4/12
2.
3.
Use the number lines below to state if the following are
true or false:
(a)
2/4 = 8/16
(b)
7/8 = 28/32
(c)
3/8 = 5/16
(d)
1/16 = 2/32
(e)
¼ = 8/32
(f)
5/16 = 3/8
Is 2/4 of pizza the same as 4/8 of pizza? Explain
4.
When I count in 3s and 10s I get this:
3
6
9
12
15
18
21
24
10 20 30 40
50
60
70
80
Note, 9/15th is 3 out of 5 (when counting in 3s). 30/50th is
also 3 out of 5 (when counting in 10s). So the two fractions
are equivalent.
(a) Is 6 / 9 the same as 20/ 30?
(b) Is 12 / 21 the same as 40/70?
(c) Is 9 out of 15 the same as 30/40?
5.
Which of the following is NOT equivalent to 4/5?
A
B
C
D
E
6.
Which of the following IS equivalent to 12/15?
A
B
C
D
7.
8/10
12/15
40/50
16/25
21/35
24/45
36/30
36/45
120/1500
Make a list of the first 10 equivalent fractions to 5/6 using
multiples of 5 and 6: I’ll get you started:
5 10 15
=
=
6 12 18
8.
Make a list of the first 10 equivalent fractions of 4/7 using
multiples.
9.
Make an equivalent fraction for the following by DOUBLING
numerator and denominator:
(a) ¾
(b) 5/10
(c) 9/11
(d) 3/100
(e) 2/5
10.
Make an equivalent fraction for the following by
MULTIPLYING the numerator and denominator BY 10.
(a) 3/5 (b) 7/100
11.
(c) 2/10
(d) 34/100 (e) 8/10
Make an equivalent fraction for the following by HALVING
the numerator and denominator each time:
(a) 2/8 (b) 26/100 (c) 8/10
12.
(a)
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(b)
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(d) 36/42
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For each of the following, use x2, x4, x5, or x10 to convert
the following into fractions with denominators of 100.
(a) 41/50
39/50
(f) 9/10
19/20
15.
(b) 18/72
Complete the “missing” numbers by realizing there is an
equal sign between each fraction and thus all the fractions
must be equivalent. The lists have no order to them,
simply they are equal to each other. HINT: Keep referring
back to the first fraction in the list as it is in simplest form.
(c)
14.
(e) 550/600
Make an equivalent fraction for the following by dividing by
6 to both numerator and denominator
(a) 42/54
90/108
13.
(d) 22/34
(b) 7/10
(g) 17/20
(c) 20/25
(h) 14/20
(d) 3/20
(i) 49/50
(e)
(j)
What Maths skill do you think Question 14 was getting you
to work on (why would we want to make a fraction over
100?)