How to convert 3.54586921875 as a fraction

Question: What is 3.54586921875 as a fraction?


Answer: 3.54586921875 as a fraction is 773/218


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How to convert 3.54586921875 as a fraction?

Solution:3.54586921875 as a fraction is 773/218

Step 1:

The first step to converting 3.54586921875 to a fraction is to re-write 3.54586921875 in the form p/q where p and q are both positive integers. To start with, 3.54586921875 can be written as simply 3.54586921875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.54586921875, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.54586921875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.54586921875/1 each by 100000000000:

354586921875/10 / 100000000000/10 = 354586921875 / 100000000000

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 3.54586921875 as a fraction:

773/218 / 1

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