How to convert 86.1345195875 as a fraction

Question: What is 86.1345195875 as a fraction?


Answer: 86.1345195875 as a fraction is 14729/171


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How to convert 86.1345195875 as a fraction?

Solution:86.1345195875 as a fraction is 14729/171

Step 1:

The first step to converting 86.1345195875 to a fraction is to re-write 86.1345195875 in the form p/q where p and q are both positive integers. To start with, 86.1345195875 can be written as simply 86.1345195875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 86.1345195875, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 86.1345195875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 86.1345195875/1 each by 10000000000:

861345195875/10 / 10000000000/10 = 861345195875 / 10000000000

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 86.1345195875 as a fraction:

14729/171 / 1

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