How to convert 85.749375 as a fraction

Question: What is 85.749375 as a fraction?


Answer: 85.749375 as a fraction is 34214/399


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How to convert 85.749375 as a fraction?

Solution:85.749375 as a fraction is 34214/399

Step 1:

The first step to converting 85.749375 to a fraction is to re-write 85.749375 in the form p/q where p and q are both positive integers. To start with, 85.749375 can be written as simply 85.749375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 85.749375, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 85.749375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 85.749375/1 each by 1000000:

85749375/10 / 1000000/10 = 85749375 / 1000000

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 85.749375 as a fraction:

34214/399 / 1

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