Comparing Fractions Worksheet Page 2
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1
2
3
44
Method Three: Equivalent Fractions
11
Produce a list of fractions equivalent to
:
15
11
22
33
44
= · · ·
=
=
=
15
30
45
60
13
Produce a list of fractions equivalent to
:
18
13
26
39
52
= · · ·
=
=
=
18
36
54
72
Extend both lists until you find two fractions with the same
denominator: one in each list. Write down these two frac-
tions.
Compare the numerators of these two fractions.
13
11
How does this tell you which of the two fractions
and
18
15
is the larger one?
5
Method Four: Comparing Decimal Approximations
Evaluate each fraction as a decimal.
How do your two answers tell you which of the fractions is
the larger?
6 Look carefully at each of the above four methods. Make sure
that you understand how to carry out each method without
using a calculator.
2
4
7
and
are familiar fractions.
3
5
(a) Work out in your head which is the larger.
(b) Which of the first four methods would you use to
check your answer using a calculator? Why?
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