How to convert 38.677831420897 as a fraction

Question: What is 38.677831420897 as a fraction?


Answer: 38.677831420897 as a fraction is 5763/149


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How to convert 38.677831420897 as a fraction?

Solution:38.677831420897 as a fraction is 5763/149

Step 1:

The first step to converting 38.677831420897 to a fraction is to re-write 38.677831420897 in the form p/q where p and q are both positive integers. To start with, 38.677831420897 can be written as simply 38.677831420897/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 38.677831420897, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 38.677831420897/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 38.677831420897/1 each by 1000000000000:

38677831420897/10 / 1000000000000/10 = 38677831420897 / 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 38.677831420897 as a fraction:

5763/149 / 1

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