How to convert 3.753905675664 as a fraction

Question: What is 3.753905675664 as a fraction?


Answer: 3.753905675664 as a fraction is 961/256


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How to convert 3.753905675664 as a fraction?

Solution:3.753905675664 as a fraction is 961/256

Step 1:

The first step to converting 3.753905675664 to a fraction is to re-write 3.753905675664 in the form p/q where p and q are both positive integers. To start with, 3.753905675664 can be written as simply 3.753905675664/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.753905675664, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.753905675664/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.753905675664/1 each by 1000000000000:

3753905675664/10 / 1000000000000/10 = 3753905675664 / 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 3.753905675664 as a fraction:

961/256 / 1

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