How to convert 39.735168867187 as a fraction

Question: What is 39.735168867187 as a fraction?


Answer: 39.735168867187 as a fraction is 8702/219


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How to convert 39.735168867187 as a fraction?

Solution:39.735168867187 as a fraction is 8702/219

Step 1:

The first step to converting 39.735168867187 to a fraction is to re-write 39.735168867187 in the form p/q where p and q are both positive integers. To start with, 39.735168867187 can be written as simply 39.735168867187/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 39.735168867187, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 39.735168867187/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 39.735168867187/1 each by 1000000000000:

39735168867187/10 / 1000000000000/10 = 39735168867187 / 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 39.735168867187 as a fraction:

8702/219 / 1

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