How to convert 258.84158252307 as a fraction

Question: What is 258.84158252307 as a fraction?


Answer: 258.84158252307 as a fraction is 21225/82


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How to convert 258.84158252307 as a fraction?

Solution:258.84158252307 as a fraction is 21225/82

Step 1:

The first step to converting 258.84158252307 to a fraction is to re-write 258.84158252307 in the form p/q where p and q are both positive integers. To start with, 258.84158252307 can be written as simply 258.84158252307/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 258.84158252307, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 258.84158252307/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 258.84158252307/1 each by 100000000000:

25884158252307/10 / 100000000000/10 = 25884158252307 / 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 258.84158252307 as a fraction:

21225/82 / 1

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