How to convert 1.65869585317 as a fraction

Question: What is 1.65869585317 as a fraction?


Answer: 1.65869585317 as a fraction is 763/460


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How to convert 1.65869585317 as a fraction?

Solution:1.65869585317 as a fraction is 763/460

Step 1:

The first step to converting 1.65869585317 to a fraction is to re-write 1.65869585317 in the form p/q where p and q are both positive integers. To start with, 1.65869585317 can be written as simply 1.65869585317/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1.65869585317, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1.65869585317/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1.65869585317/1 each by 100000000000:

165869585317/10 / 100000000000/10 = 165869585317 / 100000000000

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 1.65869585317 as a fraction:

763/460 / 1

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