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Please help! Converting recurring decimalsto fractions T-T?

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  • Please help! Converting recurring decimalsto fractions T-T?


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Answer #1 | 14/01 2014 10:29
x- 0.230707070707 Let x = 0.230707070707....... or 100x = 23.070707...... = 23 + 0.0707....------------- (1) Let y = 0.0707... or 100y = 7.0707.... = 7.00 + 0.0707...or 100y = 7+y or 99y = 7 or y = 7/99 or from (1) we get x = 23 + y = 23 + 7/99 = 2284/99 Similarly z = 0.36464... or 100z = 3.6464... = 3+w where w = 0.6464.... or 100w = 64 + 0.6464.... = 64 +w or w = 64/99 or z = 3+64/99 = 361/99 another one.
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