How to convert 35.745710211213 as a fraction

Question: What is 35.745710211213 as a fraction?


Answer: 35.745710211213 as a fraction is 10402/291


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How to convert 35.745710211213 as a fraction?

Solution:35.745710211213 as a fraction is 10402/291

Step 1:

The first step to converting 35.745710211213 to a fraction is to re-write 35.745710211213 in the form p/q where p and q are both positive integers. To start with, 35.745710211213 can be written as simply 35.745710211213/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 35.745710211213, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 35.745710211213/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 35.745710211213/1 each by 1000000000000:

35745710211213/10 / 1000000000000/10 = 35745710211213 / 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 35.745710211213 as a fraction:

10402/291 / 1

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