How to convert 85.707838509945 as a fraction

Question: What is 85.707838509945 as a fraction?


Answer: 85.707838509945 as a fraction is 7628/89


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How to convert 85.707838509945 as a fraction?

Solution:85.707838509945 as a fraction is 7628/89

Step 1:

The first step to converting 85.707838509945 to a fraction is to re-write 85.707838509945 in the form p/q where p and q are both positive integers. To start with, 85.707838509945 can be written as simply 85.707838509945/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 85.707838509945, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 85.707838509945/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 85.707838509945/1 each by 1000000000000:

85707838509945/10 / 1000000000000/10 = 85707838509945 / 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 85.707838509945 as a fraction:

7628/89 / 1

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