How to convert 235.40825879432 as a fraction

Question: What is 235.40825879432 as a fraction?


Answer: 235.40825879432 as a fraction is 11535/49


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How to convert 235.40825879432 as a fraction?

Solution:235.40825879432 as a fraction is 11535/49

Step 1:

The first step to converting 235.40825879432 to a fraction is to re-write 235.40825879432 in the form p/q where p and q are both positive integers. To start with, 235.40825879432 can be written as simply 235.40825879432/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 235.40825879432, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 235.40825879432/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 235.40825879432/1 each by 100000000000:

23540825879432/10 / 100000000000/10 = 23540825879432 / 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 235.40825879432 as a fraction:

11535/49 / 1

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