Fractions Worksheet Page 30
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36Fractions
5 Write out the full calculator display for the following
recurring decimals, and the number of digits in the
recurring pattern. Use them to answer the following
questions.
1
1
1
1
1
1
3
6
7
9
12
13
(a) Is the number of digits in any of the recurring
patterns larger than the denominator?
(b) How many recurring digits are there in the decimals
of fractions with an even number denominator?
(c) Is there a connection between the denominators of
the fractions with 1 recurring digit?
(d) Is there any connection between the denominators
of the fractions with 6 recurring digits?
(e) Do your observations work with other fractions that
give recurring decimals? Test them out on at least
another four fractions each. What can you say about
finding patterns from a small set of numbers?
3.8
Converting recurring decimals
into fractions
To turn a decimal into a fraction is easy if the decimal
terminates. Look at the place value of the last significant
2 decimal places means hundredths,
3 decimal places means
digit and write the fraction with this denominator.
thousandths, and so on.
Simplify the fraction if possible.
48
12
225
9
For example, 0.48 5
0.225 5
5
5
100
25
1000
40
When the decimal is a recurring decimal you need a
special technique to find the equivalent fraction.
22
EXAMPLE
Write each of these recurring decimals as fractions in their
simplest form.
(a) 0.888 88…
(b) 0.454 545…
(c) 0.610 810 810 8…
Continued...
Number 89
M03_CMC_SB_IGCSE_6850_U03.indd 89
9/6/09 16:45:22
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