Comparing Fractions Worksheet
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4Comparing Fractions
1 Without using a calculator and without doing any written
13
11
calculation, decide which of the two numbers
and
is
18
15
the larger.
Explain clearly the reasons for your answer.
The following questions explore six di erent, but related, ways
of deciding which of two fractions is the larger. As you work
through the questions:
• Check whether your answer to question 1 was correct.
• Check whether the reason you gave was correct, or how
it could have been improved.
To begin with, you are free to use a calculator.
2
Method One: Subtraction
13
11
11
13
Work out one of these subtractions:
or
.
18
15
15
18
How does your answer tell you which of these fractions is
the larger?
3
Method Two: Fraction of a Suitably Chosen Quantity N
Choose an integer N that is divisible by both 18 and 15.
13
Work out
of N.
18
11
Work out
of N.
15
How do your two answers tell you which of these two frac-
tions is the larger one?
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