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How do you convert the recurring decimal 0.349 when only 3 and 9 recur?
Wiki User
∙ 10y ago
If I understand your question correctly, you are asking to convert 0.34939393939393... to a fraction.
0.34939393...
= 0.34 + 0.0093939393... • separate the recurring and non-recurring parts
= 34/100 + (93/99 ÷ 100) • convert both parts to fractions
= 34/100 + 93/9900
= (34*99)/9900 + 93/9900 • convert fractions to common denominator
= (3366 + 93)/9900
= 3459/9900 • divide by common factor of 3
= 1153/3300, which is your final answer in simplified form
If that's not the decimal you were trying to convert, then follow a similar procedure for the number you need.
Wiki User
∙ 10y ago
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