How to convert 85.625512390125 as a fraction

Question: What is 85.625512390125 as a fraction?


Answer: 85.625512390125 as a fraction is 20807/243


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How to convert 85.625512390125 as a fraction?

Solution:85.625512390125 as a fraction is 20807/243

Step 1:

The first step to converting 85.625512390125 to a fraction is to re-write 85.625512390125 in the form p/q where p and q are both positive integers. To start with, 85.625512390125 can be written as simply 85.625512390125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 85.625512390125, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 85.625512390125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 85.625512390125/1 each by 1000000000000:

85625512390125/10 / 1000000000000/10 = 85625512390125 / 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 85.625512390125 as a fraction:

20807/243 / 1

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