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Express 0.11012 as a base 10 fraction in reduced form.

 Jun 14, 2024
 #1
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First, we put \(0.11012 \) in fraction form not reduced or simplified. 

 

To do this, we multiply the decimal by \(100000/100000\)

 

We get \(\frac{0.11012}{1}\times \frac{100000}{100000}= \frac{11012}{100000}\)

 

Now, we search for common factors. 4 is one. 

\(\frac{11012 \div 4}{100000 \div 4}= \frac{2753}{25000}\)

 

Unfortuantely, there are no more common factors after this, so we have

\(0.11012 = \frac{2753}{25000}\)

 

So our final answer is \(0.11012 = \frac{2753}{25000}\)

 

Thanks! :)

 Jun 14, 2024

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