How to convert 3.915380859375 as a fraction

Question: What is 3.915380859375 as a fraction?


Answer: 3.915380859375 as a fraction is 509/130


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How to convert 3.915380859375 as a fraction?

Solution:3.915380859375 as a fraction is 509/130

Step 1:

The first step to converting 3.915380859375 to a fraction is to re-write 3.915380859375 in the form p/q where p and q are both positive integers. To start with, 3.915380859375 can be written as simply 3.915380859375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.915380859375, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.915380859375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.915380859375/1 each by 1000000000000:

3915380859375/10 / 1000000000000/10 = 3915380859375 / 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 3.915380859375 as a fraction:

509/130 / 1

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