How to convert 258.88262109997 as a fraction

Question: What is 258.88262109997 as a fraction?


Answer: 258.88262109997 as a fraction is 55142/213


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How to convert 258.88262109997 as a fraction?

Solution:258.88262109997 as a fraction is 55142/213

Step 1:

The first step to converting 258.88262109997 to a fraction is to re-write 258.88262109997 in the form p/q where p and q are both positive integers. To start with, 258.88262109997 can be written as simply 258.88262109997/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 258.88262109997, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 258.88262109997/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 258.88262109997/1 each by 100000000000:

25888262109997/10 / 100000000000/10 = 25888262109997 / 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 258.88262109997 as a fraction:

55142/213 / 1

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