# Recurring Decimals

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1. Turn 0.555555555 Recurring into a Fraction
Step 1: x=0.5555555555

Step 2: Identify the repeating number

Step 3: If theres only 1 number repeating, Times by 10, 2 numbers times by 100 and so on

Step 4: Since theres only 1 number repeated, times it by 10.

10x= 5.5555555555

Step 5: 10x - x = 5.555555 - 0.555555

Step 6: Work out 9x = 5 (x = 5/9)
2. 0.6363636363    Turn into Fraction
x = 0.6363636363

times x by 100

63.636363636363

100x - x = 63.6363636363 - 0.636363636363

99x= 63

x=63/99
3. 0.201201201201    Turn into fraction
x= 0.201201201201

1000x = 201.201201201

1000x - x = 201

999x= 201

x= 201/999

### Card Set Information

 Author: Usf4GOD ID: 290368 Filename: Recurring Decimals Updated: 2014-12-01 21:35:40 Tags: Recurring Decimals Fractions Folders: Maths Revision Description: Changing Recurring decimals into Fraction. Practice exam questions Show Answers:

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