How to convert 97.769570185938 as a fraction

Question: What is 97.769570185938 as a fraction?


Answer: 97.769570185938 as a fraction is 21216/217


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How to convert 97.769570185938 as a fraction?

Solution:97.769570185938 as a fraction is 21216/217

Step 1:

The first step to converting 97.769570185938 to a fraction is to re-write 97.769570185938 in the form p/q where p and q are both positive integers. To start with, 97.769570185938 can be written as simply 97.769570185938/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 97.769570185938, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 97.769570185938/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 97.769570185938/1 each by 1000000000000:

97769570185938/10 / 1000000000000/10 = 97769570185938 / 1000000000000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 97.769570185938 as a fraction:

21216/217 / 1

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