How to convert 5.65143836895 as a fraction

Question: What is 5.65143836895 as a fraction?


Answer: 5.65143836895 as a fraction is 2351/416


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How to convert 5.65143836895 as a fraction?

Solution:5.65143836895 as a fraction is 2351/416

Step 1:

The first step to converting 5.65143836895 to a fraction is to re-write 5.65143836895 in the form p/q where p and q are both positive integers. To start with, 5.65143836895 can be written as simply 5.65143836895/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.65143836895, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.65143836895/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.65143836895/1 each by 100000000000:

565143836895/10 / 100000000000/10 = 565143836895 / 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 5.65143836895 as a fraction:

2351/416 / 1

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