Recurring Decimals

Card Set Information

Author:
Usf4GOD
ID:
290368
Filename:
Recurring Decimals
Updated:
2014-12-01 16:35:40
Tags:
Recurring Decimals Fractions
Folders:
Maths Revision
Description:
Changing Recurring decimals into Fraction. Practice exam questions
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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

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