How to convert 18.53982421873 as a fraction

Question: What is 18.53982421873 as a fraction?


Answer: 18.53982421873 as a fraction is 2095/113


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How to convert 18.53982421873 as a fraction?

Solution:18.53982421873 as a fraction is 2095/113

Step 1:

The first step to converting 18.53982421873 to a fraction is to re-write 18.53982421873 in the form p/q where p and q are both positive integers. To start with, 18.53982421873 can be written as simply 18.53982421873/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 18.53982421873, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 18.53982421873/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 18.53982421873/1 each by 100000000000:

1853982421873/10 / 100000000000/10 = 1853982421873 / 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 18.53982421873 as a fraction:

2095/113 / 1

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