How to convert 3658.338761538 as a fraction

Question: What is 3658.338761538 as a fraction?


Answer: 3658.338761538 as a fraction is 215842/59


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How to convert 3658.338761538 as a fraction?

Solution:3658.338761538 as a fraction is 215842/59

Step 1:

The first step to converting 3658.338761538 to a fraction is to re-write 3658.338761538 in the form p/q where p and q are both positive integers. To start with, 3658.338761538 can be written as simply 3658.338761538/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3658.338761538, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3658.338761538/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3658.338761538/1 each by 1000000000:

3658338761538/10 / 1000000000/10 = 3658338761538 / 1000000000

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 3658.338761538 as a fraction:

215842/59 / 1

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