How to convert 18.5209 as a fraction

Question: What is 18.5209 as a fraction?


Answer: 18.5209 as a fraction is 5760/311


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How to convert 18.5209 as a fraction?

Solution:18.5209 as a fraction is 5760/311

Step 1:

The first step to converting 18.5209 to a fraction is to re-write 18.5209 in the form p/q where p and q are both positive integers. To start with, 18.5209 can be written as simply 18.5209/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 18.5209, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 18.5209/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 18.5209/1 each by 10000:

185209/10 / 10000/10 = 185209 / 10000

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 18.5209 as a fraction:

5760/311 / 1

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