How to convert 5.819359141538 as a fraction

Question: What is 5.819359141538 as a fraction?


Answer: 5.819359141538 as a fraction is 902/155


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How to convert 5.819359141538 as a fraction?

Solution:5.819359141538 as a fraction is 902/155

Step 1:

The first step to converting 5.819359141538 to a fraction is to re-write 5.819359141538 in the form p/q where p and q are both positive integers. To start with, 5.819359141538 can be written as simply 5.819359141538/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.819359141538, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.819359141538/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.819359141538/1 each by 1000000000000:

5819359141538/10 / 1000000000000/10 = 5819359141538 / 1000000000000

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 5.819359141538 as a fraction:

902/155 / 1

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