How to convert 505.13713788167 as a fraction

Question: What is 505.13713788167 as a fraction?


Answer: 505.13713788167 as a fraction is 25762/51


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How to convert 505.13713788167 as a fraction?

Solution:505.13713788167 as a fraction is 25762/51

Step 1:

The first step to converting 505.13713788167 to a fraction is to re-write 505.13713788167 in the form p/q where p and q are both positive integers. To start with, 505.13713788167 can be written as simply 505.13713788167/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 505.13713788167, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 505.13713788167/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 505.13713788167/1 each by 100000000000:

50513713788167/10 / 100000000000/10 = 50513713788167 / 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 505.13713788167 as a fraction:

25762/51 / 1

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