How to convert 302.8685156364 as a fraction

Question: What is 302.8685156364 as a fraction?


Answer: 302.8685156364 as a fraction is 11509/38


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How to convert 302.8685156364 as a fraction?

Solution:302.8685156364 as a fraction is 11509/38

Step 1:

The first step to converting 302.8685156364 to a fraction is to re-write 302.8685156364 in the form p/q where p and q are both positive integers. To start with, 302.8685156364 can be written as simply 302.8685156364/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 302.8685156364, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 302.8685156364/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 302.8685156364/1 each by 10000000000:

3028685156364/10 / 10000000000/10 = 3028685156364 / 10000000000

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 302.8685156364 as a fraction:

11509/38 / 1

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