How to convert 3.686795 as a fraction

What is 3.686795 as a fraction?


Solution: 3.686795 as a fraction is 977/265


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How to convert 3.686795 as a fraction?

Solution:3.686795 as a fraction is 977/265

Step 1:

The first step to converting 3.686795 to a fraction is to re-write 3.686795 in the form p/q where p and q are both positive integers. To start with, 3.686795 can be written as simply 3.686795/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.686795, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.686795/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.686795/1 each by 1000000:

3686795/10 / 1000000/10 = 3686795 / 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 3.686795 as a fraction:

977/265 / 1

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