How to convert 306.823163424 as a fraction

Question: What is 306.823163424 as a fraction?


Answer: 306.823163424 as a fraction is 45103/147


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How to convert 306.823163424 as a fraction?

Solution:306.823163424 as a fraction is 45103/147

Step 1:

The first step to converting 306.823163424 to a fraction is to re-write 306.823163424 in the form p/q where p and q are both positive integers. To start with, 306.823163424 can be written as simply 306.823163424/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 306.823163424, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 306.823163424/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 306.823163424/1 each by 1000000000:

306823163424/10 / 1000000000/10 = 306823163424 / 1000000000

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 306.823163424 as a fraction:

45103/147 / 1

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