How to convert 335.42145326744 as a fraction

Question: What is 335.42145326744 as a fraction?


Answer: 335.42145326744 as a fraction is 40586/121


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How to convert 335.42145326744 as a fraction?

Solution:335.42145326744 as a fraction is 40586/121

Step 1:

The first step to converting 335.42145326744 to a fraction is to re-write 335.42145326744 in the form p/q where p and q are both positive integers. To start with, 335.42145326744 can be written as simply 335.42145326744/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 335.42145326744, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 335.42145326744/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 335.42145326744/1 each by 100000000000:

33542145326744/10 / 100000000000/10 = 33542145326744 / 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 335.42145326744 as a fraction:

40586/121 / 1

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