How to convert 3.7860116393 as a fraction

Question: What is 3.7860116393 as a fraction?


Answer: 3.7860116393 as a fraction is 920/243


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How to convert 3.7860116393 as a fraction?

Solution:3.7860116393 as a fraction is 920/243

Step 1:

The first step to converting 3.7860116393 to a fraction is to re-write 3.7860116393 in the form p/q where p and q are both positive integers. To start with, 3.7860116393 can be written as simply 3.7860116393/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.7860116393, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.7860116393/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.7860116393/1 each by 10000000000:

37860116393/10 / 10000000000/10 = 37860116393 / 10000000000

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 3.7860116393 as a fraction:

920/243 / 1

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