How to convert 3.757692307 as a fraction

Question: What is 3.757692307 as a fraction?


Answer: 3.757692307 as a fraction is 977/260


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How to convert 3.757692307 as a fraction?

Solution:3.757692307 as a fraction is 977/260

Step 1:

The first step to converting 3.757692307 to a fraction is to re-write 3.757692307 in the form p/q where p and q are both positive integers. To start with, 3.757692307 can be written as simply 3.757692307/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.757692307, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.757692307/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.757692307/1 each by 1000000000:

3757692307/10 / 1000000000/10 = 3757692307 / 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 3.757692307 as a fraction:

977/260 / 1

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