How to convert 85.735509314935 as a fraction

Question: What is 85.735509314935 as a fraction?


Answer: 85.735509314935 as a fraction is 10374/121


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How to convert 85.735509314935 as a fraction?

Solution:85.735509314935 as a fraction is 10374/121

Step 1:

The first step to converting 85.735509314935 to a fraction is to re-write 85.735509314935 in the form p/q where p and q are both positive integers. To start with, 85.735509314935 can be written as simply 85.735509314935/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 85.735509314935, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 85.735509314935/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 85.735509314935/1 each by 1000000000000:

85735509314935/10 / 1000000000000/10 = 85735509314935 / 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 85.735509314935 as a fraction:

10374/121 / 1

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