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Express 0.11012 as a base 10 fraction in reduced form.

 Jul 16, 2024
 #1
avatar+1786 
+1

First, let's turn the decimal into a fraction, unsimplified. We do the process

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

Now, we must find common factors. 

The GCD of the two numbers are 4, so dividing by 4, we get

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

 

From here, we can no longer simplify, so

The answer is \( \frac{2753}{25000}\)

 

Thanks! :)

 Jul 16, 2024
edited by NotThatSmart  Jul 16, 2024

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