How to convert 38.64760448311 as a fraction

Question: What is 38.64760448311 as a fraction?


Answer: 38.64760448311 as a fraction is 4058/105


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How to convert 38.64760448311 as a fraction?

Solution:38.64760448311 as a fraction is 4058/105

Step 1:

The first step to converting 38.64760448311 to a fraction is to re-write 38.64760448311 in the form p/q where p and q are both positive integers. To start with, 38.64760448311 can be written as simply 38.64760448311/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 38.64760448311, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 38.64760448311/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 38.64760448311/1 each by 100000000000:

3864760448311/10 / 100000000000/10 = 3864760448311 / 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 38.64760448311 as a fraction:

4058/105 / 1

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