How to convert 258.9784575231 as a fraction

Question: What is 258.9784575231 as a fraction?


Answer: 258.9784575231 as a fraction is 11913/46


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How to convert 258.9784575231 as a fraction?

Solution:258.9784575231 as a fraction is 11913/46

Step 1:

The first step to converting 258.9784575231 to a fraction is to re-write 258.9784575231 in the form p/q where p and q are both positive integers. To start with, 258.9784575231 can be written as simply 258.9784575231/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 258.9784575231, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 258.9784575231/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 258.9784575231/1 each by 10000000000:

2589784575231/10 / 10000000000/10 = 2589784575231 / 10000000000

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 258.9784575231 as a fraction:

11913/46 / 1

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