How to convert 355.14335226973 as a fraction

Question: What is 355.14335226973 as a fraction?


Answer: 355.14335226973 as a fraction is 101571/286


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How to convert 355.14335226973 as a fraction?

Solution:355.14335226973 as a fraction is 101571/286

Step 1:

The first step to converting 355.14335226973 to a fraction is to re-write 355.14335226973 in the form p/q where p and q are both positive integers. To start with, 355.14335226973 can be written as simply 355.14335226973/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 355.14335226973, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 355.14335226973/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 355.14335226973/1 each by 100000000000:

35514335226973/10 / 100000000000/10 = 35514335226973 / 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 355.14335226973 as a fraction:

101571/286 / 1

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