How to convert 0.11380640293913 as a fraction

Question: What is 0.11380640293913 as a fraction?


Answer: 0.11380640293913 as a fraction is 441/3875


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How to convert 0.11380640293913 as a fraction?

Solution:0.11380640293913 as a fraction is 441/3875

Step 1:

The first step to converting 0.11380640293913 to a fraction is to re-write 0.11380640293913 in the form p/q where p and q are both positive integers. To start with, 0.11380640293913 can be written as simply 0.11380640293913/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.11380640293913, which in this case is 14. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.11380640293913/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.11380640293913/1 each by 100000000000000:

011380640293913/10 / 100000000000000/10 = 011380640293913 / 100000000000000

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 0.11380640293913 as a fraction:

441/3875 / 1

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